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Number Theory

Authors and titles for math.NT in Mar 2024

[ total of 279 entries: 1-279 ]
[ showing 279 entries per page: fewer | more ]
[1]  arXiv:2403.00120 [pdf, ps, other]
Title: The distribution of $a$-numbers of hyperelliptic curves in characteristic three
Authors: Derek Garton, Jeffrey Lin Thunder, Colin Weir
Comments: 31 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[2]  arXiv:2403.00468 [pdf, ps, other]
Title: Probabilistic central Bell polynomials
Authors: R. Xu, Y. Ma, T. Kim, D. S. Kim, S. Boulaars
Comments: 12 pages
Subjects: Number Theory (math.NT)
[3]  arXiv:2403.00469 [pdf, ps, other]
Title: On an estimate on Götzky's domain
Authors: Dávid Tóth (HUN-REN Alfréd Rényi Institute of Mathematics, Budapest University of Technology and Economics)
Subjects: Number Theory (math.NT)
[4]  arXiv:2403.00500 [pdf, ps, other]
Title: On the height of some generators of galois extensions with big galois group
Authors: Jenvrin Jonathan
Subjects: Number Theory (math.NT)
[5]  arXiv:2403.00760 [pdf, ps, other]
Title: Faulhaber's formula, Bernoulli numbers and the equation $f(x)+x^k=f(x+1)$
Authors: Chai Wah Wu
Comments: 4 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO); History and Overview (math.HO)
[6]  arXiv:2403.00902 [pdf, ps, other]
Title: Sharp bounds for joint moments of the Riemann zeta function
Authors: Michael J. Curran, André Heycock
Subjects: Number Theory (math.NT)
[7]  arXiv:2403.00928 [pdf, other]
Title: The limit points of the bass notes of arithmetic hyperbolic surfaces
Authors: Michael Magee
Comments: 32 pages, 2 Figures, presentation polished in current version
Subjects: Number Theory (math.NT); Analysis of PDEs (math.AP); Differential Geometry (math.DG); Probability (math.PR); Spectral Theory (math.SP)
[8]  arXiv:2403.01021 [pdf, ps, other]
Title: A note on extended genus fields of Kummer extensions of rational function fields
Authors: Martha Rzedowski-Calderón, Gabriel Villa-Salvador
Comments: 8 pages
Subjects: Number Theory (math.NT)
[9]  arXiv:2403.01213 [pdf, ps, other]
Title: On the family of elliptic curves $y^2=x^3-m^2x + (pqr)^2$
Authors: Arkabrata Ghosh
Comments: 15 pages
Subjects: Number Theory (math.NT)
[10]  arXiv:2403.01247 [pdf, ps, other]
Title: On q-series and the moment problem associated to local factors
Authors: Alain Connes, Caterina Consani, Henri Moscovici
Comments: 37 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO); Quantum Algebra (math.QA)
[11]  arXiv:2403.01287 [pdf, ps, other]
Title: Towards a classification of $p^2$-discriminant ideal twins over number fields
Authors: Alyson Deines, Asimina S. Hamakiotes, Andreea Iorga, Changningphaabi Namoijam, Manami Roy, Lori D. Watson
Comments: 17 pages. arXiv admin note: text overlap with arXiv:2402.19183
Subjects: Number Theory (math.NT)
[12]  arXiv:2403.01498 [pdf, ps, other]
Title: On the anticyclotomic Mazur-Tate conjecture for elliptic curves with supersingular reduction
Authors: Chan-Ho Kim
Comments: submitted
Subjects: Number Theory (math.NT)
[13]  arXiv:2403.01500 [pdf, ps, other]
Title: On the adjoint Selmer groups of semi-stable elliptic curves and Flach's zeta elements
Authors: Chan-Ho Kim
Comments: The comparison with other recent work is given, as per the request. Comments are very welcome
Subjects: Number Theory (math.NT)
[14]  arXiv:2403.01787 [pdf, ps, other]
Title: Effective Weak Universality in Short Intervals
Authors: Saeree Wananiyakul, Jörn Steuding, Nithi Rungtanapirom
Subjects: Number Theory (math.NT); Complex Variables (math.CV)
[15]  arXiv:2403.01914 [pdf, ps, other]
Title: Linear Congruences in several variables with congruence restrictions
Authors: C. G. Karthick Babu, Ranjan Bera, B. Sury
Subjects: Number Theory (math.NT)
[16]  arXiv:2403.01923 [pdf, ps, other]
Title: Linear Congruences and a Conjecture of Bibak
Authors: C. G. Karthick Babu, Ranjan Bera, B. Sury
Subjects: Number Theory (math.NT)
[17]  arXiv:2403.01957 [pdf, ps, other]
Title: Sur l'asymptotique des sommes de Kempner pour de grandes bases
Authors: Jean-François Burnol
Comments: 11 pages, in French. v3 differs from v2 only via a largely rewritten introduction, added references, the use of one-half line spacing and a change of typeface
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)
[18]  arXiv:2403.02030 [pdf, ps, other]
Title: Rational distances from given rational points in the plane
Authors: Pietro Corvaja, Amos Turchet, Umberto Zannier
Comments: Comments welcome!
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[19]  arXiv:2403.02040 [pdf, ps, other]
Title: On Generalised Albert Forms over Discretely Valued Fields
Authors: Nico Lorenz
Subjects: Number Theory (math.NT)
[20]  arXiv:2403.02195 [pdf, other]
Title: Sign changes of short character sums and real zeros of Fekete polynomials
Authors: Oleksiy Klurman, Youness Lamzouri, Marc Munsch
Subjects: Number Theory (math.NT)
[21]  arXiv:2403.02442 [pdf, ps, other]
Title: Non-Abelian extensions of degree $p^3$ and $p^4$ in characteristic $p>2$
Authors: Grant Moles
Comments: 15 pages, 0 figures, to be published in Finite Fields and Their Applications
Subjects: Number Theory (math.NT)
[22]  arXiv:2403.02548 [pdf, ps, other]
Title: The least primary factor of the multiplicative group
Authors: Greg Martin, Chau Nguyen
Comments: 16 pages
Subjects: Number Theory (math.NT)
[23]  arXiv:2403.02592 [pdf, ps, other]
Title: On the $p$-adic values of the weight two Eisenstein series for supersingular primes
Authors: Pavel Guerzhoy
Comments: 19 pages
Subjects: Number Theory (math.NT)
[24]  arXiv:2403.02717 [pdf, ps, other]
Title: Approximation de sous-espaces vectoriels de $\mathbb{R}^n$ par des sous-espaces rationnels
Authors: Gaétan Guillot
Comments: PhD thesis, in French
Subjects: Number Theory (math.NT)
[25]  arXiv:2403.02792 [pdf, ps, other]
Title: The summatory function of the Möbius function involving the greatest common divisor
Authors: Isao Kiuchi, Sumaia Saad Eddin
Comments: 14 pages
Subjects: Number Theory (math.NT)
[26]  arXiv:2403.02851 [pdf, ps, other]
Title: Quaternionic Mahler measure
Authors: Weijia Wang, Hao Zhang
Subjects: Number Theory (math.NT); Complex Variables (math.CV)
[27]  arXiv:2403.03073 [pdf, ps, other]
Title: Entanglement of elliptic curves upon base extension
Authors: Tori Day, Rylan Gajek-Leonard
Subjects: Number Theory (math.NT)
[28]  arXiv:2403.03191 [pdf, other]
Title: Generic models for genus 2 curves with real multiplication
Authors: Alex Cowan, Sam Frengley, Kimball Martin
Comments: 26 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[29]  arXiv:2403.03301 [pdf, ps, other]
Title: Supercongruences using modular forms
Authors: Frits Beukers
Comments: 35 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[30]  arXiv:2403.03319 [pdf, ps, other]
Title: Bogomolov property and Galois representations
Authors: Francesco Amoroso, Lea Terracini
Subjects: Number Theory (math.NT)
[31]  arXiv:2403.03342 [pdf, ps, other]
Title: Motives, Periods, and Functoriality
Authors: Pierre Deligne, A. Raghuram
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[32]  arXiv:2403.03345 [pdf, ps, other]
Title: Ramanujan's congruence primes
Authors: Ellise Parnoff, A. Raghuram
Comments: To appear in Involve - a journal of Mathematics, this article is based on an undergraduate research project at Fordham University
Subjects: Number Theory (math.NT)
[33]  arXiv:2403.03445 [pdf, ps, other]
Title: Evaluations and relations for finite trigonometric sums
Authors: Bruce C. Berndt, Sun Kim, Alexandru Zaharescu
Subjects: Number Theory (math.NT)
[34]  arXiv:2403.03498 [pdf, ps, other]
Title: Some Remarks on Maesaka-Seki-Watanabe's Formula for the Multiple Harmonic Sums
Authors: Shuji Yamamoto
Comments: 13 pages
Subjects: Number Theory (math.NT)
[35]  arXiv:2403.03623 [pdf, ps, other]
Title: An expansion formula for elliptic hypergeometric series
Authors: Gaurav Bhatnagar, Archna Kumari
Comments: 13 pp - Comments are welcome. A suggestion by a referee led to two new results (3.6) and (4.6) in the paper
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)
[36]  arXiv:2403.03625 [pdf, ps, other]
Title: Some direct and inverse problems for the Restricted Signed sumset in set of integers
Authors: Mohan, Raj Kumar Mistri, Ram Krishna Pandey
Comments: 27 pages
Subjects: Number Theory (math.NT)
[37]  arXiv:2403.03912 [pdf, ps, other]
Title: Digamma function and general Fischer series in the theory of Kempner sums
Authors: Jean-François Burnol
Comments: 13 pages. v3 backports results from arxiv:2404.13763, adding then further novel bounds on general Kempner sums, adds a discussion of asymptotic expansions, largely rewrites the introduction, extends the references
Subjects: Number Theory (math.NT)
[38]  arXiv:2403.04107 [pdf, ps, other]
Title: General Mneimneh-type Binomial Sum involving Harmonic Numbers
Authors: Ende Pan, Ce Xu
Comments: 11 pages
Subjects: Number Theory (math.NT)
[39]  arXiv:2403.04119 [pdf, ps, other]
Title: Shalika newforms for GL(n)
Authors: Takeo Okazaki
Comments: 40 pages
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[40]  arXiv:2403.04159 [pdf, other]
Title: Metrical theory of power-2-decaying Gauss-like expansion
Authors: Zhihui Li, Xin Liao, Dingding Yu
Subjects: Number Theory (math.NT)
[41]  arXiv:2403.04271 [pdf, ps, other]
Title: Ranks of 1-motives as dimensions of Ext$^1$ vector spaces
Authors: Nicola Nesa
Comments: 16 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[42]  arXiv:2403.04312 [pdf, ps, other]
Title: Distribution of power residues over shifted subfields and maximal cliques in generalized Paley graphs
Authors: Greg Martin, Chi Hoi Yip
Comments: 15 pages, comments welcomed
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[43]  arXiv:2403.04342 [pdf, other]
Title: The family of $a$-floor quotient partial orders
Authors: Jeffrey C. Lagarias, David Harry Richman
Comments: 30 pages, 3 figures, comments welcome! arXiv admin note: text overlap with arXiv:2212.11689
Subjects: Number Theory (math.NT)
[44]  arXiv:2403.04397 [pdf, ps, other]
Title: Arithmetic progressions in polynomial orbits
Authors: Mohammad Sadek, Mohamed Wafik, Tuğba Yesin
Subjects: Number Theory (math.NT)
[45]  arXiv:2403.04495 [pdf, ps, other]
Title: High order congruences for $M$-ary partitions
Authors: Błażej Żmija
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[46]  arXiv:2403.04566 [pdf, ps, other]
Title: Pullback of arithmetic theta series and its modularity for unitary Shimura curves
Authors: Qiao He, Yousheng Shi, Tonghai Yang
Subjects: Number Theory (math.NT)
[47]  arXiv:2403.04727 [pdf, ps, other]
Title: On the evaluations of multiple $S$ and $T$ values of the form $S(\overset{{}_{(-)}}{2}, 1, \ldots, 1, \overset{{}_{(-)}}{1})$ and $T(\overset{{}_{(-)}}{2}, 1, \ldots, 1, \overset{{}_{(-)}}{1})$
Authors: Steven Charlton
Comments: 22 pages
Subjects: Number Theory (math.NT)
[48]  arXiv:2403.04738 [pdf, ps, other]
Title: Control Theorems for Hilbert Modular Varieties
Authors: Arshay Sheth
Comments: 15 pages, comments welcome!
Subjects: Number Theory (math.NT)
[49]  arXiv:2403.04909 [pdf, ps, other]
Title: Hecke Relations for Eta Multipliers and Congruences of Higher-Order Smallest Parts Functions
Authors: Clayton Williams
Comments: 15 pages
Subjects: Number Theory (math.NT)
[50]  arXiv:2403.04973 [pdf, ps, other]
Title: Hypergeometric solutions to Schwarzian equations
Authors: Khalil Besrour, Abdellah Sebbar
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)
[51]  arXiv:2403.04986 [pdf, ps, other]
Title: Ring class fields and a result of Hasse
Authors: R. Evans, F. Lemmermeyer, Z.-H. Sun, M. van Veen
Comments: 26 pages; added author Sun and Theorem 6.2 and Section 8
Subjects: Number Theory (math.NT)
[52]  arXiv:2403.05078 [pdf, ps, other]
Title: Distribution of solutions to systems of congruences in balls
Authors: Michael Harm
Subjects: Number Theory (math.NT)
[53]  arXiv:2403.05107 [pdf, ps, other]
Title: A converse of dynamical Mordell--Lang conjecture in positive characteristic
Authors: Jungin Lee, Gyeonghyeon Nam
Comments: 6 pages
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)
[54]  arXiv:2403.05183 [pdf, ps, other]
Title: Balanced triple product $p$-adic $L$-functions and Stark points
Authors: Luca Dall'Ava, Aleksander Horawa
Comments: 68 pages. Comments are welcome!
Subjects: Number Theory (math.NT)
[55]  arXiv:2403.05319 [pdf, ps, other]
Title: Ducci on $\mathbb{Z}_m^n$ and the Maximum Length for $n$ Odd
Authors: Mark L. Lewis, Shannon M. Tefft
Subjects: Number Theory (math.NT); Group Theory (math.GR)
[56]  arXiv:2403.05453 [pdf, ps, other]
Title: Asymptotic Variation of Elementary Abelian p-Extensions over $P^1$
Authors: Hui June Zhu
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[57]  arXiv:2403.05481 [pdf, ps, other]
Title: The Zilber--Pink conjecture for products of curves with highly degenerate reduction
Authors: Netan Dogra
Comments: 7 pages. Comments welcome!
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[58]  arXiv:2403.05678 [pdf, ps, other]
Title: Ellipsephic harmonic series revisited
Authors: Jean-Paul Allouche, Yining Hu, Claude Morin
Comments: This paper generalizes arxiv:2305.18180
Subjects: Number Theory (math.NT)
[59]  arXiv:2403.05800 [pdf, ps, other]
Title: Harder's denominator problem for $\mathrm{SL}_2(\mathbb{Z})$ and its applications
Authors: Hohto Bekki, Ryotaro Sakamoto
Comments: 57 pages
Subjects: Number Theory (math.NT)
[60]  arXiv:2403.05866 [pdf, ps, other]
Title: Linear relations for the number of overpartitions into odd parts
Authors: Deepthi G., S. Chandankumar
Subjects: Number Theory (math.NT)
[61]  arXiv:2403.05960 [pdf, ps, other]
Title: Unitary Friedberg--Jacquet periods and anticyclotomic p-adic L-functions
Authors: Andrew Graham
Comments: 120 pages. Comments welcome
Subjects: Number Theory (math.NT)
[62]  arXiv:2403.06184 [pdf, ps, other]
Title: Cryptoanalysis of RSA variants with special structure of RSA primes
Authors: M. Anwar, Mustafa Ismail, H.M. Bahig
Subjects: Number Theory (math.NT)
[63]  arXiv:2403.06263 [pdf, ps, other]
Title: A generalization of a Ramanujan's exercise and Fibonacci polynomials
Authors: Genki Shibukawa
Comments: 8 pages, no figures
Subjects: Number Theory (math.NT)
[64]  arXiv:2403.06619 [pdf, ps, other]
Title: On l-th roots and division by l
Authors: Josep M. Miret, Jordi Pujolàs, Nicolas Thériault
Comments: 18 pages no figures
Subjects: Number Theory (math.NT)
[65]  arXiv:2403.06626 [pdf, other]
Title: The Prime Geodesic Theorem for the Picard Manifold
Authors: Ikuya Kaneko
Comments: 14 pages. LaTeX2e
Subjects: Number Theory (math.NT)
[66]  arXiv:2403.06808 [pdf, ps, other]
Title: Height Filtrations and Base Loci on Flag Bundles over a Curve
Authors: Yangyu Fan, Wenbin Luo, Binggang Qu
Comments: 20 pages, comments welcome
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[67]  arXiv:2403.06917 [pdf, ps, other]
Title: Double Eisenstein series and modular forms of level $4$
Authors: Katsumi Kina
Comments: 32 pages
Subjects: Number Theory (math.NT)
[68]  arXiv:2403.07123 [pdf, ps, other]
Title: On certain harmonic zeta functions
Authors: Mümün Can, Levent Kargın, Mehmet Cenkci, Ayhan Dil
Subjects: Number Theory (math.NT); Complex Variables (math.CV)
[69]  arXiv:2403.07171 [pdf, ps, other]
Title: Representing rational integers by generalized quadratic forms over quadratic fields
Authors: Ondřej Chwiedziuk, Matěj Doležálek, Emma Pěchoučková, Zdeněk Pezlar, Om Prakash, Giuliano Romeo, Anna Růžičková, Mikuláš Zindulka
Comments: 26 pages; comments are welcome!
Subjects: Number Theory (math.NT)
[70]  arXiv:2403.07291 [pdf, ps, other]
Title: An extension of the Chudnovsky algorithm
Authors: John M. Campbell
Comments: Submitted for publication
Subjects: Number Theory (math.NT)
[71]  arXiv:2403.07476 [pdf, ps, other]
Title: 2-descent for Bloch--Kato Selmer groups and rational points on hyperelliptic curves II
Authors: Netan Dogra
Comments: 29 pages. Comments welcome!
Subjects: Number Theory (math.NT)
[72]  arXiv:2403.07482 [pdf, ps, other]
Title: Linking Invariants for Valuations and Orderings on Fields
Authors: Ido Efrat
Subjects: Number Theory (math.NT)
[73]  arXiv:2403.07534 [pdf, ps, other]
Title: Frobenius numbers associated with Diophantine triples of $x^2+y^2=z^r$ (extended version)
Authors: Takao Komatsu, Neha Gupta, Manoj Upreti
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[74]  arXiv:2403.07545 [pdf, other]
Title: Artin-Schreier quandles of involutions in absolute Galois groups
Authors: Markus Szymik
Comments: 19 pages, 1 figure
Subjects: Number Theory (math.NT); Group Theory (math.GR); Geometric Topology (math.GT); Quantum Algebra (math.QA)
[75]  arXiv:2403.07659 [pdf, ps, other]
Title: The power operation in the Galois cohomology of a reductive group over a number field
Authors: Mikhail Borovoi, Zinovy Reichstein
Comments: 52 pages. V2: typos corrected
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Group Theory (math.GR); Representation Theory (math.RT)
[76]  arXiv:2403.07674 [pdf, ps, other]
Title: The frequency problem of the three gap theorem
Authors: Huixing Zhang
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)
[77]  arXiv:2403.08306 [pdf, other]
Title: On the number of prime numbers between $n^2$ and ${(n+1)}^2$
Authors: Jimin Li, Haonan Li
Comments: 15 pages. Comments welcome!
Subjects: Number Theory (math.NT)
[78]  arXiv:2403.08324 [pdf, ps, other]
Title: Mixed moments of $\rm GL(2)$ and symmetric square $L$-functions
Authors: Bingrong Huang, Liangxun Li
Comments: 25 pages. Comments welcome!
Subjects: Number Theory (math.NT)
[79]  arXiv:2403.08367 [pdf, ps, other]
Title: Lubin-Tate generalizations of the p-adic Fourier transform
Authors: Laurent Berger
Subjects: Number Theory (math.NT)
[80]  arXiv:2403.08616 [pdf, ps, other]
Title: An upper bound for the second moment of the length of the period of the continued fraction expansion for $\sqrt{d}$
Authors: M.A.Korolev
Comments: 22 pages, no figures
Subjects: Number Theory (math.NT)
[81]  arXiv:2403.08697 [pdf, ps, other]
Title: Sums of squares of k-term forms
Authors: Charu Goel, Bruce Reznick
Subjects: Number Theory (math.NT)
[82]  arXiv:2403.08888 [pdf, ps, other]
Title: Lifting Galois representations via Kummer flags
Authors: Andrea Conti, Cyril Demarche, Mathieu Florence
Comments: 24 pages
Subjects: Number Theory (math.NT); Algebraic Topology (math.AT)
[83]  arXiv:2403.09146 [pdf, ps, other]
Title: Computational data on ${\mathfrak S}_n$-extensions of $\mathbb Q$
Authors: Gunter Malle
Subjects: Number Theory (math.NT)
[84]  arXiv:2403.09202 [pdf, ps, other]
Title: Some congruences of calibers of real quadratic fields
Authors: Naoto Fujisawa
Subjects: Number Theory (math.NT)
[85]  arXiv:2403.09277 [pdf, other]
Title: Folding $π$
Authors: Michael Assis
Comments: Corrected typos in previous version
Subjects: Number Theory (math.NT)
[86]  arXiv:2403.09420 [pdf, ps, other]
Title: On Krull-Schmidt decompositions of unit groups of number fields
Authors: Asuka Kumon, Donghyeok Lim
Comments: 14 pages
Subjects: Number Theory (math.NT)
[87]  arXiv:2403.09440 [pdf, other]
Title: On a problem posed by Bjorn Poonen
Authors: James Rawson
Comments: 11 pages, 1 figure. Comments welcome!
Subjects: Number Theory (math.NT)
[88]  arXiv:2403.09446 [pdf, ps, other]
Title: Families of Equiangular Lines and Lattices
Authors: Jacques Martinet
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[89]  arXiv:2403.09784 [pdf, ps, other]
Title: Eigenvariety for partially classical Hilbert modular forms
Authors: Mladen Dimitrov, Chi-Yun Hsu
Subjects: Number Theory (math.NT)
[90]  arXiv:2403.09843 [pdf, other]
Title: $K_1$-invariants in the mod $p$ cohomology of $U(3)$ arithmetic manifolds
Authors: Daniel Le, Bao Viet Le Hung, Stefano Morra
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[91]  arXiv:2403.09909 [pdf, ps, other]
Title: Cokernels of random matrix products and flag Cohen--Lenstra heuristic
Authors: Yifeng Huang
Comments: 8 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO); Probability (math.PR)
[92]  arXiv:2403.09995 [pdf, ps, other]
Title: Toric ranks and component groups of Jacobians of modular curves
Authors: Paul Alexander Helminck
Comments: 53 pages, 4 figures. Comments are welcome!
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[93]  arXiv:2403.10500 [pdf, other]
Title: A lozenge triangulation of the plane with integers
Authors: Raghavendra N. Bhat, Cristian Cobeli, Alexandru Zaharescu
Comments: 21 pages, 9 figures
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[94]  arXiv:2403.10637 [pdf, ps, other]
Title: Consecutive primes and IP sets
Authors: William D. Banks
Comments: 5 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[95]  arXiv:2403.10653 [pdf, ps, other]
Title: On the Piatetski-Shapiro construction for integral models of Shimura varieties
Authors: Pol van Hoften, Jack Sempliner
Comments: 63 pages, comments welcome!
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[96]  arXiv:2403.10681 [pdf, ps, other]
Title: On the Classification of Modular Congruence Families
Authors: Nicolas Allen Smoot
Subjects: Number Theory (math.NT)
[97]  arXiv:2403.10866 [pdf, other]
Title: Relatively prime pairs in the Piatetski-Shapiro sequences
Authors: Yuta Suzuki
Comments: 11 pages
Subjects: Number Theory (math.NT)
[98]  arXiv:2403.11170 [pdf, ps, other]
Title: Common substring with shifts in b-ary expansions
Authors: Xin Liao, Dingding Yu
Subjects: Number Theory (math.NT)
[99]  arXiv:2403.11243 [pdf, ps, other]
Title: On the refined Herglotz-Zagier function
Authors: Ziyi Huang
Subjects: Number Theory (math.NT)
[100]  arXiv:2403.11257 [pdf, other]
Title: The Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation
Authors: Lorenz Frühwirth, Manuel Hauke
Comments: 23 pages, 3 figures, comments are welcome!
Subjects: Number Theory (math.NT)
[101]  arXiv:2403.11474 [pdf, ps, other]
Title: The 2-adic valuations of the algebraic central $L$-values for quadratic twists of weight 2 newforms
Authors: Taiga Adachi, Keiichiro Nomoto, Ryota Shii
Subjects: Number Theory (math.NT)
[102]  arXiv:2403.11714 [pdf, ps, other]
Title: Adelic approximation on spheres
Authors: Éric Gaudron (LMBP, UCA)
Subjects: Number Theory (math.NT)
[103]  arXiv:2403.11745 [pdf, ps, other]
Title: On the height of the universal abelian variety
Authors: José Ignacio Burgos Gil, Jürg Kramer
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[104]  arXiv:2403.11814 [pdf, other]
Title: The error in the prime number theorem in short intervals
Authors: Ethan Simpson Lee
Comments: 13 pages, any comments or suggestions are warmly welcomed! (Extra lit review and minor typographical updates in update.)
Subjects: Number Theory (math.NT)
[105]  arXiv:2403.11829 [pdf, ps, other]
Title: Grothendieck-Katz conjecture
Authors: Hossein Movasati
Comments: A new section is added. The exposition has been improved
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[106]  arXiv:2403.11943 [pdf, ps, other]
Title: Galois groups of random polynomials over the rational function field
Authors: Alexei Entin
Subjects: Number Theory (math.NT)
[107]  arXiv:2403.12165 [pdf, ps, other]
Title: Iterated Monodromy Group With Non-Martingale Fixed-Point Process
Authors: Jianfei He, Zheng Zhu
Comments: 21 pages
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS); Probability (math.PR)
[108]  arXiv:2403.12341 [pdf, ps, other]
Title: Diophantine approximation by rational numbers of certain parity types
Authors: Dong Han Kim, Seul Bee Lee, Lingmin Liao
Comments: 22 pages, 6 figures
Subjects: Number Theory (math.NT)
[109]  arXiv:2403.12476 [pdf, ps, other]
Title: On the Siegel series in terms of lattice counting
Authors: Sungmun Cho, Taeyeoup Kang
Subjects: Number Theory (math.NT)
[110]  arXiv:2403.12516 [pdf, ps, other]
Title: Relations between Chebyshev, Fibonacci and Lucas polynomials via trigonometric sums
Authors: Lejla Smajlović, Zenan Šabanac, Lamija Šćeta
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[111]  arXiv:2403.12752 [pdf, other]
Title: Counting coprime pairs in random squares
Authors: José L. Fernández, Pablo Fernández
Subjects: Number Theory (math.NT); Probability (math.PR)
[112]  arXiv:2403.12874 [pdf, ps, other]
Title: Solutions to a Romanoff type problem
Authors: Yuchen Ding
Subjects: Number Theory (math.NT)
[113]  arXiv:2403.13133 [pdf, ps, other]
Title: Roots of full polynomials related to diagonal polynomials
Authors: José Gustavo Coelho
Subjects: Number Theory (math.NT)
[114]  arXiv:2403.13151 [pdf, ps, other]
Title: Metaplectic cusp forms and the large sieve
Authors: Alexander Dunn
Comments: 61 pages
Subjects: Number Theory (math.NT)
[115]  arXiv:2403.13157 [pdf, other]
Title: A note on zero density results implying large value estimates for Dirichlet polynomials
Authors: Kaisa Matomäki, Joni Teräväinen
Comments: 16 pages
Subjects: Number Theory (math.NT)
[116]  arXiv:2403.13159 [pdf, ps, other]
Title: Lower bounds for coefficients of certain cyclotomic polynomials
Authors: Akos Borsanyi
Comments: 5 pages, no figures
Subjects: Number Theory (math.NT)
[117]  arXiv:2403.13359 [pdf, other]
Title: $6$-torsion and integral points on quartic surfaces
Authors: Stephanie Chan, Peter Koymans, Carlo Pagano, Efthymios Sofos
Subjects: Number Theory (math.NT)
[118]  arXiv:2403.13533 [pdf, ps, other]
Title: On Sums of Practical Numbers and Polygonal Numbers
Authors: Sai Teja Somu, Duc Van Khanh Tran
Journal-ref: Journal of Integer Sequences, 27(5), Article 24.5.1, 2024
Subjects: Number Theory (math.NT)
[119]  arXiv:2403.13604 [pdf, ps, other]
Title: A strange identity of an MF (Mahler function)
Authors: Wadim Zudilin
Comments: In memoriam Peter Bundschuh; 4 pages
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA); Combinatorics (math.CO)
[120]  arXiv:2403.13895 [pdf, ps, other]
Title: Quotients of $L$-functions: degrees $n$ and $n-2$
Authors: Ravi Raghunathan
Comments: 38
Subjects: Number Theory (math.NT)
[121]  arXiv:2403.14424 [pdf, ps, other]
Title: On a conjecture of Moreno-Frías and Rosales for numerical semigroups
Authors: Masahiro Watari
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[122]  arXiv:2403.14433 [pdf, ps, other]
Title: Campana points on wonderful compactifications
Authors: Dylon Chow, Daniel Loughran, Ramin Takloo-Bighash, Sho Tanimoto
Comments: 32 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[123]  arXiv:2403.14434 [pdf, ps, other]
Title: Maillet's property and Mahler's Conjecture on Liouville numbers fail for matrices
Authors: Johannes Schleischitz
Comments: 20 pages
Subjects: Number Theory (math.NT); General Topology (math.GN)
[124]  arXiv:2403.14591 [pdf, ps, other]
Title: New variants of arithmetic quantum ergodicity
Authors: Peter Humphries, Jesse Thorner
Comments: 28 pages. arXiv admin note: substantial text overlap with arXiv:2103.05634
Subjects: Number Theory (math.NT)
[125]  arXiv:2403.14604 [pdf, ps, other]
Title: An explicit parity theorem for multiple zeta values via multitangent functions
Authors: Minoru Hirose
Subjects: Number Theory (math.NT)
[126]  arXiv:2403.14631 [pdf, other]
Title: Predicting root numbers with neural networks
Authors: Alexey Pozdnyakov
Comments: Submitted to IJDSMS under Special Issue DANGER
Subjects: Number Theory (math.NT)
[127]  arXiv:2403.14632 [pdf, ps, other]
Title: Hyperbolic Jacobsthal Spinor Sequences and Their Mathematical Properties
Authors: Selime Beyza Özçevik, Abdullah Dertli
Subjects: Number Theory (math.NT); Rings and Algebras (math.RA)
[128]  arXiv:2403.14634 [pdf, ps, other]
Title: Bounds for moments of quadratic Dirichlet character sums
Authors: Peng Gao, Liangyi Zhao
Comments: 3 pages
Subjects: Number Theory (math.NT)
[129]  arXiv:2403.14640 [pdf, ps, other]
Title: Asymptotic solutions of generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields
Authors: Narasimha Kumar, Satyabrat Sahoo
Comments: arXiv admin note: substantial text overlap with arXiv:2301.09263
Subjects: Number Theory (math.NT)
[130]  arXiv:2403.14644 [pdf, ps, other]
Title: On a closed formula for a log-sine integral
Authors: J.S.Dowker
Comments: 4 pages
Subjects: Number Theory (math.NT); High Energy Physics - Theory (hep-th)
[131]  arXiv:2403.14812 [pdf, other]
Title: Counting numbers that are divisible by the product of their digits
Authors: Qizheng He, Carlo Sanna
Subjects: Number Theory (math.NT)
[132]  arXiv:2403.14831 [pdf, other]
Title: Distribution of cycles in supersingular $\ell$-isogeny graphs
Authors: Eli Orvis
Subjects: Number Theory (math.NT)
[133]  arXiv:2403.14894 [pdf, other]
Title: On the trajectories of a particle in a translation invariant involutive field
Authors: Cristian Cobeli, Alexandru Zaharescu
Comments: 20 pages, 11 figures
Subjects: Number Theory (math.NT)
[134]  arXiv:2403.14904 [pdf, ps, other]
Title: Improved bounds for integral points on modular curves using Runge's method
Authors: David Zywina
Subjects: Number Theory (math.NT)
[135]  arXiv:2403.14936 [pdf, ps, other]
Title: Some evaluations of interpolated multiple zeta values and interpolated multiple $t$-values
Authors: Zhonghua Li, Zhenlu Wang
Subjects: Number Theory (math.NT)
[136]  arXiv:2403.15053 [pdf, ps, other]
Title: On certain Fibonacci representations
Authors: Kálmán Liptai, László Németh, Tamás Szakács, László Szalay
Comments: 9 pages
Subjects: Number Theory (math.NT)
[137]  arXiv:2403.15086 [pdf, ps, other]
Title: On alternating sum formulas for the Arakawa-Kaneko multiple zeta values
Authors: Yuta Nishimura
Comments: 14 pages
Subjects: Number Theory (math.NT)
[138]  arXiv:2403.15109 [pdf, ps, other]
Title: Natural density of rank-$2$ Drinfeld modules with big Galois image
Authors: Chien-Hua Chen
Comments: 11 pages
Subjects: Number Theory (math.NT)
[139]  arXiv:2403.15597 [pdf, other]
Title: New portions of $M\setminus L$ and a lower bound on the Hausdorff distance between $L$ and $M$
Authors: Clément Rieutord, Carlos Gustavo Moreira, Harold Erazo
Comments: 40 pages, 2 figures
Subjects: Number Theory (math.NT)
[140]  arXiv:2403.15741 [pdf, other]
Title: On the series expansion of the secondary zeta function
Authors: Artur Kawalec
Comments: 32pg, 6 figs, 10 tables (v2 minor improvements)
Subjects: Number Theory (math.NT)
[141]  arXiv:2403.15795 [pdf, ps, other]
Title: Special values of $L$-functions for $\mathrm{GL}_5 \times \mathrm{GL}_4$
Authors: Ankit Rai, Gunja Sachdeva
Subjects: Number Theory (math.NT)
[142]  arXiv:2403.15967 [pdf, ps, other]
Title: Ramanujan type congruences for quotients of Klein forms
Authors: Timothy Huber, Nathaniel Mayes, Jeffery Opoku, Dongxi Ye
Journal-ref: Journal of Number Theory, Volume 258, 2024, Pages 281-333
Subjects: Number Theory (math.NT)
[143]  arXiv:2403.16012 [pdf, ps, other]
Title: Determination of Hilbert modular forms using squarefree coefficients
Authors: Rishabh Agnihotri, Krishnarjun Krishnamoorthy
Comments: Comments and suggestions welcome
Subjects: Number Theory (math.NT)
[144]  arXiv:2403.16047 [pdf, other]
Title: Elemental Patterns from the Erdős Straus Conjecture
Authors: Kyle Bradford
Subjects: Number Theory (math.NT)
[145]  arXiv:2403.16076 [pdf, ps, other]
Title: Arithmetic of critical $p$-adic $L$-functions
Authors: Denis Benois, Kâzım Büyükboduk
Comments: 171 pages. To appear in the Memoirs of the AMS. Numberings may differ from the published version
Subjects: Number Theory (math.NT)
[146]  arXiv:2403.16093 [pdf, ps, other]
Title: The cone conjecture for vector-valued Siegel automorphic forms
Authors: Jean-Stefan Koskivirta
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[147]  arXiv:2403.16113 [pdf, ps, other]
Title: Local square mean in the hyperbolic circle problem
Authors: András Biró
Subjects: Number Theory (math.NT)
[148]  arXiv:2403.16147 [pdf, ps, other]
Title: Open image computations for elliptic curves over number fields
Authors: David Zywina
Subjects: Number Theory (math.NT)
[149]  arXiv:2403.16493 [pdf, ps, other]
Title: Gap distribution of $\sqrt{n} \,\mathrm{mod}\, 1$ and the circle method
Authors: Maksym Radziwiłł, Niclas Technau
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)
[150]  arXiv:2403.16603 [pdf, ps, other]
Title: On the Zp-extensions of a totally p-adic imaginary quadratic field -- With an appendix by Jean-François Jaulent
Authors: Georges Gras (LMB)
Comments: Minor improvements, clarifications and corrections
Subjects: Number Theory (math.NT)
[151]  arXiv:2403.16670 [pdf, ps, other]
Title: Probabilistic bivariate Bell polynomials
Authors: Taekyun Kim, Dae san Kim
Comments: 10 pages
Subjects: Number Theory (math.NT); Probability (math.PR)
[152]  arXiv:2403.16691 [pdf, ps, other]
Title: Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers
Authors: Yuuya Yoshida
Comments: 44 pages, 4 figures
Subjects: Number Theory (math.NT)
[153]  arXiv:2403.16735 [pdf, ps, other]
Title: New congruences for Partitions where the Even Parts are Distinct
Authors: Hemjyoti Nath
Comments: 5 pages
Subjects: Number Theory (math.NT)
[154]  arXiv:2403.16761 [pdf, ps, other]
Title: On the Continued Fraction Expansion of Almost All Real Numbers
Authors: Alex Jin, Shreyas Singh, Zhuo Zhang, AJ Hildebrand
Comments: Accepted for publication in Involve
Subjects: Number Theory (math.NT)
[155]  arXiv:2403.16918 [pdf, ps, other]
Title: $p$-adic rigidity of eigenforms of infinite slope
Authors: Andrea Conti
Comments: 67 pages
Subjects: Number Theory (math.NT)
[156]  arXiv:2403.16939 [pdf, ps, other]
Title: $p$-Adic hypergeometric functions and certain weight three newforms
Authors: Sulakashna, Rupam Barman
Comments: 17 pages
Subjects: Number Theory (math.NT)
[157]  arXiv:2403.17292 [pdf, ps, other]
Title: Généralisation du Théorème de Zeckendorf
Authors: Rachid Chergui
Comments: in French language
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[158]  arXiv:2403.17401 [pdf, ps, other]
Title: New and old Saito-Kurokawa lifts classically via $L^2$ norms and bounds on their supnorms: level aspect
Authors: Pramath Anamby, Soumya Das
Comments: 59 pages; Comments are welcome
Subjects: Number Theory (math.NT)
[159]  arXiv:2403.17522 [pdf, ps, other]
Title: Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem
Authors: Jan Moser
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)
[160]  arXiv:2403.17579 [pdf, ps, other]
Title: Kurokawa-Mizumoto congruence and differential operators on automorphic forms
Authors: Nobuki Takeda
Subjects: Number Theory (math.NT)
[161]  arXiv:2403.17590 [pdf, ps, other]
Title: Multiplicative generalised polynomial sequences
Authors: Jakub Konieczny
Comments: 11 pages, comments welcome
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[162]  arXiv:2403.17626 [pdf, other]
Title: Murmurations of Mestre-Nagao sums
Authors: Zvonimir Bujanović, Matija Kazalicki, Lukas Novak
Comments: 11 pages; comments welcome
Subjects: Number Theory (math.NT)
[163]  arXiv:2403.17655 [pdf, ps, other]
Title: The prime number theorem through one-sided Tauberian theorems
Authors: Gregory Debruyne
Comments: 7 pages
Subjects: Number Theory (math.NT)
[164]  arXiv:2403.17685 [pdf, ps, other]
Title: Simultaneous Diophantine approximation to points on the Veronese curve
Authors: Dzmitry Badziahin
Comments: 31 pages. Better bounds on lambda and better upper bound on the Hausdorff dimension for n=3 are provided in the updated version of the paper
Subjects: Number Theory (math.NT)
[165]  arXiv:2403.17758 [pdf, ps, other]
Title: A quaternion-based obtention of the angle between adjacent sides in the evolution of regular polygons of $M$ sides under the vortex filament equation
Authors: Fernando Chamizo, Francisco de la Hoz
Comments: 21 pages, 1 figure
Subjects: Number Theory (math.NT)
[166]  arXiv:2403.17803 [pdf, ps, other]
Title: On Littlewood's estimate for the modulus of the zeta function on the critical line
Authors: Emanuel Carneiro, Micah B. Milinovich
Comments: 12 pages. To appear in the Proceedings of the International Conference "Constructive Theory of Functions - 2023"
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)
[167]  arXiv:2403.17829 [pdf, ps, other]
Title: A modular framework of generalized Hurwitz class numbers
Authors: Olivia Beckwith, Andreas Mono
Comments: 32 pages in total, including an appendix with program code (see ancillary file as well), no figures. Comments welcome!
Subjects: Number Theory (math.NT)
[168]  arXiv:2403.17867 [pdf, ps, other]
Title: The Adams conjecture and intersections of local Arthur packets
Authors: Alexander Hazeltine
Subjects: Number Theory (math.NT)
[169]  arXiv:2403.17952 [pdf, ps, other]
Title: Mneimneh-type Binomial Sums of Multiple Harmonic-type Sums
Authors: Ende Pan, Ce Xu
Comments: 15 pages. arXiv admin note: text overlap with arXiv:2403.04107
Subjects: Number Theory (math.NT)
[170]  arXiv:2403.17953 [pdf, ps, other]
Title: Solutions to a Pillai-type equation involving Tribonacci numbers and S-units
Authors: Herbert Batte, Florian Luca
Comments: 26 pages
Subjects: Number Theory (math.NT)
[171]  arXiv:2403.17955 [pdf, ps, other]
Title: An effective estimate for the sum of two cubes problem
Authors: Saunak Bhattacharjee
Comments: 7 pages, some calculations corrected
Subjects: Number Theory (math.NT)
[172]  arXiv:2403.17957 [pdf, ps, other]
Title: The Density of Borromean Primes
Authors: Yuki Ishida, Atsuki Kuramoto, Dingchuan Zheng
Comments: 19 pages. To appear in Commentarii Mathematici Universitatis Sancti Pauli. Added acknowledgements
Subjects: Number Theory (math.NT)
[173]  arXiv:2403.17959 [pdf, ps, other]
Title: Rational Diophantine sextuples with strong pair
Authors: Andrej Dujella, Matija Kazalicki, Vinko Petričević
Comments: 9 pages
Subjects: Number Theory (math.NT)
[174]  arXiv:2403.17972 [pdf, ps, other]
Title: On the unit group and the $2$-class number of $\mathbb{Q}(\sqrt{2},\sqrt{p},\sqrt{q})$
Authors: Mohamed Mahmoud Chems-Eddin, Moha Ben Taleb El Hamam, Moulay Ahmed Hajjami
Comments: arXiv admin note: substantial text overlap with arXiv:2108.04171
Subjects: Number Theory (math.NT)
[175]  arXiv:2403.18034 [pdf, ps, other]
Title: Rank distribution in cubic twist families of elliptic curves
Authors: Anwesh Ray, Pratiksha Shingavekar
Comments: Version 1: 25 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[176]  arXiv:2403.18075 [pdf, ps, other]
Title: Finite and Symmetric Euler Sums and Finite and Symmetric (Alternating) Multiple $T$-Values
Authors: Jianqiang Zhao
Comments: 17 pages
Journal-ref: Axioms 2024 Volume 13 Issue 4, 210
Subjects: Number Theory (math.NT)
[177]  arXiv:2403.18154 [pdf, ps, other]
Title: Cohomology classes, periods, and special values of Rankin-Selberg $L$-functions
Authors: Yubo Jin, Pan Yan
Comments: 21 pages
Subjects: Number Theory (math.NT)
[178]  arXiv:2403.18382 [pdf, ps, other]
Title: Joint distribution of $L$-values and orders of Sha groups of quadratic twists of elliptic curves
Authors: Peng-Jie Wong
Comments: 24 pages, comments welcome
Subjects: Number Theory (math.NT)
[179]  arXiv:2403.18390 [pdf, ps, other]
Title: Sails for universal quadratic forms
Authors: Vítězslav Kala, Siu Hang Man
Comments: 21 pages
Subjects: Number Theory (math.NT)
[180]  arXiv:2403.18620 [pdf, ps, other]
Title: Triple product $p$-adic $L$-functions for finite slope families and a $p$-adic Gross-Zagier formula
Authors: Ting-Han Huang
Subjects: Number Theory (math.NT)
[181]  arXiv:2403.18688 [pdf, ps, other]
Title: The Gross--Kohnen--Zagier theorem via $p$-adic uniformization
Authors: Lea Beneish, Henri Darmon, Lennart Gehrmann, Martí Roset
Subjects: Number Theory (math.NT)
[182]  arXiv:2403.18924 [pdf, ps, other]
Title: Sum of terms of recurrence sequences in the solution sets of generalized Pell equations
Authors: Pritam Kumar Bhoi, Rudranarayan Padhy, Sudhansu Sekhar Rout
Comments: 10 pages
Subjects: Number Theory (math.NT)
[183]  arXiv:2403.19166 [pdf, ps, other]
Title: On Ichino-Ikeda type formula of Whittaker periods for unitary groups
Authors: Kazuki Morimoto
Comments: 54 pages
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[184]  arXiv:2403.19320 [pdf, ps, other]
Title: Mean values of arithmetic functions and application to sums of powers
Authors: Régis de la Bretèche, Gérald Tenenbaum
Subjects: Number Theory (math.NT)
[185]  arXiv:2403.19397 [pdf, ps, other]
Title: Points of bounded height on certain subvarieties of toric varieties
Authors: Marta Pieropan, Damaris Schindler
Comments: 22 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[186]  arXiv:2403.19410 [pdf, ps, other]
Title: On the Exact Fourier Dimension of Sets of Well-Approximable Matrices
Authors: Thomas Cai, Kyle Hambrook
Subjects: Number Theory (math.NT)
[187]  arXiv:2403.19453 [pdf, ps, other]
Title: The submodularity of the covolume function in global function fields
Authors: Gukyeong Bang
Comments: 19 pages
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)
[188]  arXiv:2403.19503 [pdf, ps, other]
Title: Supercongruences involving Apéry-like numbers and Bernoulli numbers
Authors: Ji-Cai Liu
Comments: 10 pages
Subjects: Number Theory (math.NT)
[189]  arXiv:2403.19565 [pdf, ps, other]
Title: Moduli stacks of Galois representations and the $p$-adic local Langlands correspondence for $\mathrm{GL}_2(\mathbb{Q}_p)$
Authors: Christian Johansson, James Newton, Carl Wang-Erickson
Comments: 66 pages
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[190]  arXiv:2403.19642 [pdf, ps, other]
Title: Square patterns in dynamical orbits
Authors: Vefa Goksel, Giacomo Micheli
Comments: 17 pages
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)
[191]  arXiv:2403.19685 [src]
Title: A necessary condition for $2p$ to be congruent for a prime $p \equiv 5 \pmod 8$
Authors: Arkabrata Ghosh
Comments: There is some problem in this calculation which I learned just now. I request you to withdraw this paper
Subjects: Number Theory (math.NT)
[192]  arXiv:2403.19687 [pdf, ps, other]
Title: Weighted low-lying zeros of L-functions attached to Siegel modular forms
Authors: Shifan Zhao
Comments: 21 pages
Subjects: Number Theory (math.NT)
[193]  arXiv:2403.19696 [pdf, ps, other]
Title: On smooth gaps between primes using the Maynard-Tao sieve
Authors: Carol Wu
Comments: 7 pages, 1 table; comments welcome!
Subjects: Number Theory (math.NT)
[194]  arXiv:2403.19711 [pdf, ps, other]
Title: Modularity of higher theta series II: Chow group of the generic fiber
Authors: Tony Feng, Adeel A. Khan
Comments: Corrected some statements in section 7.5. This paper absorbs arXiv:2311.13270 as section 8
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); K-Theory and Homology (math.KT)
[195]  arXiv:2403.19771 [pdf, ps, other]
Title: On a conjecture of Pappas and Rapoport
Authors: Patrick Daniels, Pol van Hoften, Dongryul Kim, Mingjia Zhang
Comments: 49 pages, comments welcome!
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[196]  arXiv:2403.19803 [pdf, other]
Title: Lower Bounds for the Large Deviations of Selberg's Central Limit Theorem
Authors: Louis-Pierre Arguin, Emma Bailey
Subjects: Number Theory (math.NT); Probability (math.PR)
[197]  arXiv:2403.20037 [pdf, ps, other]
Title: Number of solutions to a special type of unit equations in two unknowns, III
Authors: Takafumi Miyazaki, István Pink
Comments: 44 pages; comments welcome!
Subjects: Number Theory (math.NT)
[198]  arXiv:2403.20073 [pdf, other]
Title: A binary version of the Mahler-Popken complexity function
Authors: John M. Campbell
Comments: Submitted for publication
Subjects: Number Theory (math.NT)
[199]  arXiv:2403.20232 [pdf, ps, other]
Title: Lattices in rigid analytic representations
Authors: Andrea Conti, Emiliano Torti
Comments: 43 pages
Subjects: Number Theory (math.NT)
[200]  arXiv:2403.00149 (cross-list from math.CO) [pdf, other]
Title: Uniform Recurrence in the Motzkin Numbers and Related Sequences mod $p$
Authors: Nadav Kohen
Comments: 10 pages, 1 figure
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[201]  arXiv:2403.00635 (cross-list from math.CO) [pdf, ps, other]
Title: On the asymptotic behavior for partitions separated by parity
Authors: Kathrin Bringmann, William Craig, Caner Nazaroglu
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[202]  arXiv:2403.01358 (cross-list from math.CA) [pdf, ps, other]
Title: On odd-normal numbers
Authors: Malabika Pramanik, Junqiang Zhang
Comments: 36 pages
Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)
[203]  arXiv:2403.01464 (cross-list from math.GR) [pdf, other]
Title: Digraphs, pro-$p$ groups and Massey products in Galois cohomology
Authors: Claudio Quadrelli
Comments: In this version we use the notion of "digraph" instead of the notion of "oriented graph" previously (and uncorrectly) used, and adapt the content suitably
Subjects: Group Theory (math.GR); Combinatorics (math.CO); Number Theory (math.NT)
[204]  arXiv:2403.01550 (cross-list from math.CO) [pdf, other]
Title: Spectral antisymmetry of twisted graph adjacency
Authors: Ye Luo, Arindam Roy
Comments: 5 figures
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Number Theory (math.NT); Spectral Theory (math.SP)
[205]  arXiv:2403.01831 (cross-list from math.AG) [pdf, ps, other]
Title: Cohomological flatness over discrete valuation rings: numerical and logarithmic criteria
Authors: Ofer Gabber, Rémi Lodh
Comments: Minor changes
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[206]  arXiv:2403.01899 (cross-list from math.AG) [pdf, ps, other]
Title: De Rham $F$-gauges and Shimura varieties
Authors: Xu Shen
Comments: 39 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[207]  arXiv:2403.01951 (cross-list from math.AG) [pdf, ps, other]
Title: Descent for solid quasi-coherent sheaves on perfectoid spaces
Authors: Johannes Anschütz, Lucas Mann
Comments: 62 pages. Any comments are welcome!
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[208]  arXiv:2403.02480 (cross-list from math.AG) [pdf, ps, other]
Title: Approximating rational points on surfaces
Authors: Brian Lehmann, David McKinnon, Matthew Satriano
Comments: 12 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[209]  arXiv:2403.02555 (cross-list from math.AT) [pdf, other]
Title: On the Drinfeld formal group
Authors: Deven Manam
Comments: 32 pages
Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Number Theory (math.NT)
[210]  arXiv:2403.03197 (cross-list from math.DS) [pdf, other]
Title: Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip
Authors: Sébastien Labbé
Comments: 45 pages, 18 numbered figures
Subjects: Dynamical Systems (math.DS); Combinatorics (math.CO); Metric Geometry (math.MG); Number Theory (math.NT)
[211]  arXiv:2403.03343 (cross-list from math.AG) [pdf, ps, other]
Title: Introduction to the monodromy conjecture
Authors: Willem Veys
Comments: 43 pages, to appear in the "Handbook of Geometry and Topology of Singularities"
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[212]  arXiv:2403.03549 (cross-list from math.CO) [pdf, ps, other]
Title: The restricted sumsets in finite abelian groups
Authors: Shanshan Du, Hao Pan
Comments: 9 pages. Accepted by the Israel Journal of Mathematics
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[213]  arXiv:2403.03732 (cross-list from math.CO) [pdf, ps, other]
Title: Expansion properties of polynomials over finite fields
Authors: Nuno Arala, Sam Chow
Comments: Comments welcome!
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[214]  arXiv:2403.04490 (cross-list from math.DS) [pdf, ps, other]
Title: Are prime numbers and quadratic residues random?
Authors: Michael Blank
Comments: 18 pages. The normalization of local entropy has been changed and a number of results and estimates have been improved
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[215]  arXiv:2403.04555 (cross-list from math.CO) [pdf, ps, other]
Title: Wilf-Zeilberger seeds: $q$-analogues
Authors: Kam Cheong Au
Subjects: Combinatorics (math.CO); Classical Analysis and ODEs (math.CA); Number Theory (math.NT)
[216]  arXiv:2403.04663 (cross-list from math.RA) [pdf, other]
Title: On the Wedderburn decomposition of the total ring of quotients of certain Iwasawa algebras
Authors: Ben Forrás
Comments: 58 pages
Subjects: Rings and Algebras (math.RA); Number Theory (math.NT)
[217]  arXiv:2403.05194 (cross-list from math.GT) [pdf, ps, other]
Title: On the crossing number of arithmetic curve systems
Authors: Sebastian Baader, Claire Burrin, Luca Studer
Comments: 8 pages
Subjects: Geometric Topology (math.GT); Number Theory (math.NT)
[218]  arXiv:2403.05333 (cross-list from math.DS) [pdf, ps, other]
Title: Entropic van der Corput's Difference Theorem
Authors: Weichen Gu, Xiang Li
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[219]  arXiv:2403.05414 (cross-list from math.CO) [pdf, other]
Title: Combinatorial approach to Andrews-Gordon and Bressoud type identities
Authors: Jehanne Dousse, Frédéric Jouhet, Isaac Konan
Comments: 28 pages, 6 figures
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[220]  arXiv:2403.07138 (cross-list from math.CO) [pdf, ps, other]
Title: Sets of Cross Numbers of Sequences over Finite Abelian Groups
Authors: Aqsa Bashir, Wolfgang A. Schmid
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[221]  arXiv:2403.07217 (cross-list from math.CO) [pdf, other]
Title: Arrow Relations in Lattices of Integer Partitions
Authors: Asma'a Almazaydeh, Mike Behrisch, Edith Vargas-García, Andreas Wachtel
Comments: 28 pages, 8 figures, 3 tables and 3 contexts
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[222]  arXiv:2403.07272 (cross-list from math.AG) [pdf, ps, other]
Title: Error terms for the motives of discriminant complements and a Cayley-Bacharach theorem
Authors: Ishan Banerjee
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[223]  arXiv:2403.07477 (cross-list from math.CO) [pdf, other]
Title: $M$-ary partition polynomials
Authors: Błażej Żmija
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[224]  arXiv:2403.08393 (cross-list from math.GR) [pdf, ps, other]
Title: A classification of $\mathbb{F}_{p^k}$-braces using bilinear forms
Authors: Riccardo Aragona, Giuseppe Nozzi
Subjects: Group Theory (math.GR); Number Theory (math.NT); Rings and Algebras (math.RA)
[225]  arXiv:2403.08727 (cross-list from math.CO) [pdf, ps, other]
Title: The q-ary Gilbert-Varshamov bound can be improved for all but finitely many positive integers q
Authors: Xue-Bin Liang
Comments: 35 pages; more relevant and connected works are mentioned and referenced, with a suitable but slight adjustment for presentation in Abstract and Introduction
Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Information Theory (cs.IT); Number Theory (math.NT)
[226]  arXiv:2403.08751 (cross-list from math.AC) [pdf, other]
Title: Cyclotomic Factors and LRS-Degeneracy
Authors: John Abbott, Nico Mexis
Subjects: Commutative Algebra (math.AC); Number Theory (math.NT)
[227]  arXiv:2403.09304 (cross-list from math.LO) [pdf, ps, other]
Title: The Existential Closedness and Zilber-Pink Conjectures
Authors: Vahagn Aslanyan
Comments: This paper is dedicated to Boris Zilber on the occasion of his 75th birthday
Subjects: Logic (math.LO); Complex Variables (math.CV); Number Theory (math.NT)
[228]  arXiv:2403.09469 (cross-list from math.AG) [pdf, ps, other]
Title: Unexpected subgroup schemes of PGL_{2,k} in characteristic 2
Authors: Bianca Gouthier, Dajano Tossici
Comments: 9 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[229]  arXiv:2403.09886 (cross-list from math.AG) [pdf, other]
Title: Hypertangency of plane curves and the algebraic exceptional set
Authors: Lucia Caporaso, Amos Turchet
Comments: V2 - small changes. Comments welcome!
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[230]  arXiv:2403.10430 (cross-list from math.AG) [pdf, ps, other]
Title: Construction of Arithmetic Teichmuller Spaces IV: Proof of the abc-conjecture
Authors: Kirti Joshi
Comments: 53 Pages. Preliminary Version for comments
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[231]  arXiv:2403.10651 (cross-list from math.RT) [pdf, ps, other]
Title: A modular ramified geometric Satake equivalence
Authors: Pramod N. Achar, João Lourenço, Timo Richarz, Simon Riche
Comments: 79 pages
Subjects: Representation Theory (math.RT); Algebraic Geometry (math.AG); Number Theory (math.NT)
[232]  arXiv:2403.10817 (cross-list from math.CO) [pdf, ps, other]
Title: The Schur polynomials in all primitive $n$th roots of unity
Authors: Masaki Hidaka, Minoru Itoh
Comments: 12 pages; minor revision; title has been changed
Subjects: Combinatorics (math.CO); Number Theory (math.NT); Representation Theory (math.RT)
[233]  arXiv:2403.11007 (cross-list from math.AG) [pdf, other]
Title: Central motives on parahoric flag varieties
Authors: Robert Cass, Thibaud van den Hove, Jakob Scholbach
Comments: 56 pages, comments welcome
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT); Representation Theory (math.RT)
[234]  arXiv:2403.11191 (cross-list from math.CO) [pdf, other]
Title: Generalised core partitions and Diophantine equations
Authors: Olivier Brunat, Nathan Chapelier-Laget, Thomas Gerber
Comments: 60 pages, 14 figures. Comments welcome
Subjects: Combinatorics (math.CO); Number Theory (math.NT); Representation Theory (math.RT)
[235]  arXiv:2403.11976 (cross-list from math.RT) [pdf, ps, other]
Title: On the upper bound of wavefront sets of representations of p-adic groups
Authors: Alexander Hazeltine, Baiying Liu, Chi-Heng Lo, Freydoon Shahidi
Comments: Comments are welcome
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[236]  arXiv:2403.12159 (cross-list from math.CO) [pdf, ps, other]
Title: Walks on tiled boards
Authors: László Németh
Comments: 16 pages, 11 figures,
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[237]  arXiv:2403.12588 (cross-list from cs.IT) [pdf, ps, other]
Title: Machine Learning of the Prime Distribution
Authors: Alexander Kolpakov, A. Alistair Rocke
Comments: 10 pages; parts of arXiv:2308.10817 reworked and amended; author's draft; accepted in PLOS ONE
Subjects: Information Theory (cs.IT); Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Number Theory (math.NT)
[238]  arXiv:2403.13080 (cross-list from math.RA) [pdf, ps, other]
Title: Spaces with Vanishing Characteristic Coefficients
Authors: Adam Chapman
Subjects: Rings and Algebras (math.RA); Number Theory (math.NT)
[239]  arXiv:2403.13182 (cross-list from math.QA) [pdf, ps, other]
Title: The modular properties of $\mathfrak{sl}(2)$ torus $1$-point functions
Authors: Matthew Krauel, Jamal Noel Shafiq, Simon Wood
Comments: 34 pages, 2 tables
Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Number Theory (math.NT)
[240]  arXiv:2403.13383 (cross-list from math.DS) [pdf, other]
Title: Size of discriminants of periodic geodesics of the modular surface
Authors: François Maucourant (UR)
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[241]  arXiv:2403.13744 (cross-list from math.DS) [pdf, ps, other]
Title: Mean value theorems in multiplicative systems and joint ergodicity of additive and multiplicative actions
Authors: Dimitrios Charamaras
Comments: 49 pages
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[242]  arXiv:2403.13932 (cross-list from math.DS) [pdf, ps, other]
Title: Generating all time-changes preserving dynamical zeta functions
Authors: Sawian Jaidee, Jakub Byszewski, Thomas Ward
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[243]  arXiv:2403.13995 (cross-list from math.RT) [pdf, ps, other]
Title: Real groups, symmetric varieties and Langlands duality
Authors: Tsao-Hsien Chen, David Nadler
Comments: 70 pages. The paper incorporated technical material from arXiv:1805.06514 but with many new results, including a proof of a conjecture in loc. cit. on identification of dual groups. An updated version of arXiv:1805.06514 will include various generalizations of the affine Matsuki correspondence
Subjects: Representation Theory (math.RT); Algebraic Geometry (math.AG); Number Theory (math.NT)
[244]  arXiv:2403.14316 (cross-list from math.GR) [pdf, ps, other]
Title: Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem
Authors: Chandrasheel Bhagwat, Shubham Jaiswal
Comments: 21 pages
Subjects: Group Theory (math.GR); Number Theory (math.NT); Representation Theory (math.RT)
[245]  arXiv:2403.14976 (cross-list from math.DS) [pdf, other]
Title: BCZ map is weakly mixing
Authors: Yitwah Cheung, Anthony Quas
Comments: 11 pages, 3 figures
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[246]  arXiv:2403.15666 (cross-list from math.AG) [pdf, ps, other]
Title: Maximal Number of Skew Lines in the Fermat Surface
Authors: Sally Andria, Jacqueline Rojas, Wállace Mangueira
Comments: 20 pages
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Number Theory (math.NT)
[247]  arXiv:2403.15677 (cross-list from math.CO) [pdf, ps, other]
Title: Partitions in which every term but the smallest one is consecutive
Authors: Rajat Gupta, Noah Lebowitz-Lockard
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[248]  arXiv:2403.15898 (cross-list from math.AG) [pdf, ps, other]
Title: Deformations of highly symmetric Calabi-Yau Grassmannian hypersurfaces
Authors: Adriana Salerno, Ursula Whitcher, Chenglong Yu
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[249]  arXiv:2403.15960 (cross-list from math.GT) [pdf, other]
Title: The smooth Mordell-Weil group and mapping class groups of elliptic surfaces
Authors: Benson Farb, Eduard Looijenga
Comments: 31 pages, 4 figures. References to work of Hacking-Keating added to this version
Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Number Theory (math.NT)
[250]  arXiv:2403.16326 (cross-list from math.AG) [pdf, ps, other]
Title: Quadratic residue patterns, algebraic curves and a K3 surface
Authors: Valentina Kiritchenko, Michael Tsfasman, Serge Vladuts, Ilya Zakharevich
Comments: 24 pages, to be submitted; develops and replaces arXiv:2303.03270
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[251]  arXiv:2403.16559 (cross-list from math.DS) [pdf, ps, other]
Title: On divergent on average trajectories for higher rank actions
Authors: Wooyeon Kim
Comments: 50 pages, 1 figure
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[252]  arXiv:2403.16563 (cross-list from math.DS) [pdf, ps, other]
Title: Moments of Margulis functions and indefinite ternary quadratic forms
Authors: Wooyeon Kim
Comments: 39 pages
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[253]  arXiv:2403.16945 (cross-list from math.CA) [pdf, ps, other]
Title: New evaluations of inverse binomial series via cyclotomic multiple zeta values
Authors: John M. Campbell, M. Lawrence Glasser, Yajun Zhou
Comments: 17 pages, a sequel to arXiv:2210.17243v4 and arXiv:2306.04638v3
Subjects: Classical Analysis and ODEs (math.CA); High Energy Physics - Theory (hep-th); Number Theory (math.NT)
[254]  arXiv:2403.17167 (cross-list from math.AG) [pdf, other]
Title: Monodromy groups of indecomposable coverings of bounded genus
Authors: Danny Neftin, Michael E. Zieve
Subjects: Algebraic Geometry (math.AG); Group Theory (math.GR); Number Theory (math.NT)
[255]  arXiv:2403.17168 (cross-list from math.AG) [pdf, other]
Title: Monodromy groups of product type
Authors: Danny Neftin, Michael E. Zieve
Subjects: Algebraic Geometry (math.AG); Group Theory (math.GR); Number Theory (math.NT)
[256]  arXiv:2403.17315 (cross-list from math.DS) [pdf, other]
Title: Arithmetic properties of multiplier polynomials for certain polynomial maps
Authors: Yuya Murakami, Kaoru Sano, Kohei Takehira
Comments: 31pages, 10 figures
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[257]  arXiv:2403.17825 (cross-list from math.AG) [pdf, ps, other]
Title: Motives
Authors: L. Barbieri-Viale
Subjects: Algebraic Geometry (math.AG); Category Theory (math.CT); K-Theory and Homology (math.KT); Number Theory (math.NT)
[258]  arXiv:2403.18110 (cross-list from math.PR) [pdf, other]
Title: Randomisation in the Josephus Problem
Authors: Faustin Adiceam, Steven Robertson, Victor Shirandami, Ioannis Tsokanos
Subjects: Probability (math.PR); Combinatorics (math.CO); Number Theory (math.NT)
[259]  arXiv:2403.18138 (cross-list from math.AG) [pdf, other]
Title: Constructing abelian varieties from rank 3 Galois representations with real trace field
Authors: Raju Krishnamoorthy, Yeuk Hay Joshua Lam
Comments: 3 pages, comments welcome!
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[260]  arXiv:2403.18345 (cross-list from math.AG) [pdf, other]
Title: Compactifications of the Eisenstein ancestral Deligne-Mostow variety
Authors: K. Hulek, S.Kondo, Y. Maeda
Comments: 50 pages, comments welcome
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[261]  arXiv:2403.19505 (cross-list from math.AG) [pdf, ps, other]
Title: On the supersingular locus of the Siegel modular variety of genus 3 or 4
Authors: Ryosuke Shimada, Teppei Takamatsu
Comments: 20 pages. arXiv admin note: substantial text overlap with arXiv:2402.13216; text overlap with arXiv:2309.03371
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[262]  arXiv:2403.19568 (cross-list from math.AG) [pdf, ps, other]
Title: The motivic Hecke algebra for PEL Shimura varieties
Authors: Mattia Cavicchi
Comments: 24 pages, comments welcome
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[263]  arXiv:2403.19700 (cross-list from math.AG) [pdf, ps, other]
Title: Clusters, toric ranks, and 2-ranks of hyperelliptic curves in the wild case
Authors: Leonardo Fiore, Jeffrey Yelton
Comments: 44 pages (including table of contents and references). Most of the content is extracted from our earlier 85-page preprint [arXiv:2207.12490] "Clusters and semistable models of hyperelliptic curves in the wild case" which focuses on valid discs which contain clusters and toric rank. However, he results of Section 7 on 2-ranks as well as the examples given in Section 8 are new material
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[264]  arXiv:2403.19954 (cross-list from math.DS) [pdf, other]
Title: Billiards in polyhedra: a method to convert 2-dimensional uniformity to 3-dimensional uniformity
Authors: J. Beck, W.W.L. Chen, Y. Yang
Comments: 13 pages, 2 figures
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[265]  arXiv:2403.19958 (cross-list from math.DS) [pdf, other]
Title: Uniformity of geodesic flow in non-integrable 3-manifolds
Authors: J. Beck, W.W.L. Chen, Y. Yang
Comments: 44 pages, 32 figures
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[266]  arXiv:2403.19960 (cross-list from math.DS) [pdf, other]
Title: A note on density of geodesics
Authors: J. Beck, W.W.L. Chen, Y. Yang
Comments: 10 pages, 3 figures
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[267]  arXiv:2403.19974 (cross-list from math.KT) [pdf, ps, other]
Title: An additive variant of the differential symbol maps
Authors: Toshiro Hiranouchi
Subjects: K-Theory and Homology (math.KT); Number Theory (math.NT)
[268]  arXiv:2403.20140 (cross-list from math.HO) [pdf, ps, other]
Title: A well-motivated proof that pi is irrational
Authors: Timothy Y. Chow
Comments: 10 pages
Subjects: History and Overview (math.HO); Number Theory (math.NT)
[269]  arXiv:2403.02872 (cross-list from quant-ph) [pdf, ps, other]
Title: SIC-POVMs from Stark Units: Dimensions n^2+3=4p, p prime
Authors: Ingemar Bengtsson, Markus Grassl, Gary McConnell
Comments: 50 pages, 2 figures, 4 tables
Subjects: Quantum Physics (quant-ph); Functional Analysis (math.FA); Number Theory (math.NT)
[270]  arXiv:2403.03439 (cross-list from hep-th) [pdf, ps, other]
Title: Line defect half-indices of $SU(N)$ Chern-Simons theories
Authors: Tadashi Okazaki, Douglas J. Smith
Comments: 51 pages, v3: published version in JHEP
Journal-ref: JHEP06(2024)006
Subjects: High Energy Physics - Theory (hep-th); Combinatorics (math.CO); Number Theory (math.NT)
[271]  arXiv:2403.03464 (cross-list from hep-th) [pdf, ps, other]
Title: q-Identities for parafermion theories
Authors: Peter Bouwknegt, Shane Chern, Bolin Han
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Number Theory (math.NT)
[272]  arXiv:2403.06542 (cross-list from cs.SC) [pdf, ps, other]
Title: Solving the p-Riccati Equations and Applications to the Factorisation of Differential Operators
Authors: Raphaël Pagès (UB, IMB, MATHEXP)
Subjects: Symbolic Computation (cs.SC); Number Theory (math.NT); Operator Algebras (math.OA)
[273]  arXiv:2403.11545 (cross-list from cs.SC) [pdf, other]
Title: First-order factors of linear Mahler operators
Authors: Frédéric Chyzak (MATHEXP), Thomas Dreyfus (IMB), Philippe Dumas (MATHEXP), Marc Mezzarobba (LIX)
Comments: Dedicated to the memory of Marko Petkov\v{s}ek
Subjects: Symbolic Computation (cs.SC); Number Theory (math.NT); Rings and Algebras (math.RA)
[274]  arXiv:2403.12773 (cross-list from physics.soc-ph) [pdf, ps, other]
Title: Integers and Prime Numbers: Deriving Zipf's Law
Authors: Helmut Satz
Subjects: Physics and Society (physics.soc-ph); Number Theory (math.NT)
[275]  arXiv:2403.13382 (cross-list from cs.SC) [pdf, ps, other]
Title: Gr{ö}bner bases over polytopal affinoid algebras
Authors: Moulay A. Barkatou (XLIM-MATHIS, XLIM), Lucas Legrand (XLIM-MATHIS, XLIM), Tristan Vaccon (XLIM, XLIM-MATHIS)
Subjects: Symbolic Computation (cs.SC); Commutative Algebra (math.AC); Number Theory (math.NT)
[276]  arXiv:2403.14816 (cross-list from hep-th) [pdf, ps, other]
Title: Non-holomorphic modular forms from zeta generators
Authors: Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt, Martijn Hidding, Axel Kleinschmidt, Oliver Schlotterer, Leila Schneps, Bram Verbeek
Comments: 102 pages plus appendices; submission includes ancillary data files
Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Number Theory (math.NT)
[277]  arXiv:2403.14920 (cross-list from hep-th) [pdf, ps, other]
Title: 3d Modularity Revisited
Authors: Miranda C. N. Cheng, Ioana Coman, Piotr Kucharski, Davide Passaro, Gabriele Sgroi
Comments: 59 pages, typos corrected
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Geometric Topology (math.GT); Number Theory (math.NT)
[278]  arXiv:2403.19118 (cross-list from quant-ph) [pdf, ps, other]
Title: Non-Abelian observable-geometric phases and the Riemann zeros
Authors: Zeqian Chen
Comments: 17 pages
Subjects: Quantum Physics (quant-ph); Number Theory (math.NT); Operator Algebras (math.OA)
[279]  arXiv:2403.19630 (cross-list from hep-th) [pdf, other]
Title: The Immortal Dyon Index Is Positive
Authors: Martí Rosselló
Subjects: High Energy Physics - Theory (hep-th); Number Theory (math.NT)
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