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Number Theory

Authors and titles for math.NT in Jan 2023

[ total of 250 entries: 1-250 ]
[ showing 250 entries per page: fewer | more ]
[1]  arXiv:2301.00107 [pdf, ps, other]
Title: Another irreducibility criterion
Authors: Jitender Singh, Sanjeev Kumar
Comments: 5 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[2]  arXiv:2301.00298 [pdf, ps, other]
Title: Infinite matrix products and hypergeometric zeta series
Authors: T. Wakhare, C. Vignat
Comments: 11 pages
Subjects: Number Theory (math.NT)
[3]  arXiv:2301.00365 [pdf, ps, other]
Title: On common index divisor of the number fields defined by $x^7+ax+b$
Authors: Anuj Jakhar, Sumandeep Kaur, Surender Kumar
Comments: arXiv admin note: text overlap with arXiv:2011.14348
Subjects: Number Theory (math.NT)
[4]  arXiv:2301.00421 [pdf, ps, other]
Title: On the Hilbert space derived from the Weil distribution
Authors: Masatoshi Suzuki
Comments: 19 pages. This paper has been merged with arxiv:2209.04658 in the latest version
Subjects: Number Theory (math.NT); Functional Analysis (math.FA)
[5]  arXiv:2301.00441 [pdf, other]
Title: On restricted averages of Dedekind sums
Authors: Paolo Minelli, Athanasios Sourmelidis, Marc Technau
Comments: 21 pages. arXiv admin note: text overlap with arXiv:2206.03214
Subjects: Number Theory (math.NT)
[6]  arXiv:2301.00510 [pdf, other]
Title: Quadratic points on dynamical modular curves
Authors: John R. Doyle, David Krumm
Comments: Improvements to the exposition; stronger version of what is now Proposition 4.5
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Dynamical Systems (math.DS)
[7]  arXiv:2301.00518 [pdf, ps, other]
Title: The Frobenius twists of elliptic curves over global function fields
Authors: Ki-Seng Tan
Comments: 25 pages, 0 figures
Subjects: Number Theory (math.NT)
[8]  arXiv:2301.00570 [pdf, ps, other]
Title: The Harris-Venkatesh conjecture for derived Hecke operators I: imaginary dihedral forms
Authors: Robin Zhang
Comments: 51 pages, some auxiliary material moved to the sequels arXiv:2305.08956 and arXiv:2301.00612
Subjects: Number Theory (math.NT)
[9]  arXiv:2301.00612 [pdf, ps, other]
Title: The Harris-Venkatesh conjecture for derived Hecke operators III: local constants
Authors: Robin Zhang
Comments: 46 pages, sequel to arXiv:2301.00570 and arXiv:2305.08956; minor revisions and added Petersson norm calculations originally in arXiv:2305.08956
Subjects: Number Theory (math.NT)
[10]  arXiv:2301.00711 [pdf, ps, other]
Title: On congruence classes of orders of reductions of elliptic curves
Authors: Antigona Pajaziti, Mohammad Sadek
Subjects: Number Theory (math.NT)
[11]  arXiv:2301.00791 [pdf, ps, other]
Title: Conjectures for distributions of class groups of extensions of number fields containing roots of unity
Authors: Will Sawin, Melanie Matchett Wood
Comments: 35 pages
Subjects: Number Theory (math.NT)
[12]  arXiv:2301.00902 [pdf, other]
Title: Modularity of counting functions of convex planar polygons with rationality conditions
Authors: Kathrin Bringmann, Jonas Kaszian, Jie Zhou
Comments: 36 pages, 8 figures. Comments are welcome!
Subjects: Number Theory (math.NT); Mathematical Physics (math-ph); Symplectic Geometry (math.SG)
[13]  arXiv:2301.00978 [pdf, ps, other]
Title: On values of isotropic quadratic forms
Authors: Manoj Choudhuri, Prashant J. Makadiya
Comments: The results in the $p$-adic set up are omitted as the $p$-adic version of Lemma $1$ may not be true, which was used in the previous version
Subjects: Number Theory (math.NT)
[14]  arXiv:2301.01158 [pdf, ps, other]
Title: Values of E-functions are not Liouville numbers
Authors: Stéphane Fischler (LMO), Tanguy Rivoal (IF)
Subjects: Number Theory (math.NT)
[15]  arXiv:2301.01198 [pdf, ps, other]
Title: New applications of the Mellin transform to automorphic L-fuctions
Authors: Laurent Clozel
Subjects: Number Theory (math.NT)
[16]  arXiv:2301.01359 [pdf, ps, other]
Title: Proofs of Modulo 11 and 13 Cylindric Kanade-Russell Conjectures for $A_2$ Rogers-Ramanujan Type Identities
Authors: Ali Kemal Uncu
Comments: 19 pages
Subjects: Number Theory (math.NT); Symbolic Computation (cs.SC); Combinatorics (math.CO); Representation Theory (math.RT)
[17]  arXiv:2301.01376 [pdf, other]
Title: On $abc$ triples of the form $(1,c-1,c)$
Authors: Elise Alvarez-Salazar, Alexander J. Barrios, Calvin Henaku, Summer Soller
Comments: 18 pages; incorporates referee's suggestions; a small correction to the statement of Lemma 2.7; final version to appear in Integers
Journal-ref: Integers 23 (2023), Paper No. A65, 22 pp
Subjects: Number Theory (math.NT)
[18]  arXiv:2301.01552 [pdf, ps, other]
Title: Orders with few rational monogenizations
Authors: Jan-Hendrik Evertse
Comments: This is the final version which has been published on-line by Acta Arithmetica. It is a slight modification of the previous version
Journal-ref: Acta Arithmetica on-line first, 2023
Subjects: Number Theory (math.NT)
[19]  arXiv:2301.01624 [pdf, ps, other]
Title: Pattern Recognition Experiments on Mathematical Expressions
Authors: David Naccache, Ofer Yifrach-Stav
Subjects: Number Theory (math.NT); Machine Learning (cs.LG)
[20]  arXiv:2301.01646 [pdf, ps, other]
Title: An analogue of Mahler's transference theorem for multiplicative Diophantine approximation
Authors: Oleg N. German
Subjects: Number Theory (math.NT)
[21]  arXiv:2301.01654 [pdf, ps, other]
Title: A Selberg Trace Formula for $\text{GL}_{3}(\mathbb{F}_p)\backslash \text{GL}_{3}(\mathbb{F}_q)/K$
Authors: Daksh Aggarwal, Asghar Ghorbanpour, Masoud Khalkhali, Jiyuan Lu, Balázs Németh, C Shijia Yu
Comments: 29 pages. Comments are welcome. Same as the first version. In the new version the title and abstract displays better in the arXiv
Subjects: Number Theory (math.NT)
[22]  arXiv:2301.01680 [pdf, ps, other]
Title: CM elliptic curves and vertically entangled 2-adic groups
Authors: Nathan Jones
Subjects: Number Theory (math.NT)
[23]  arXiv:2301.01891 [src]
Title: Prime Graph and Its Structures
Authors: Ernest Croot, Patrick Jin
Comments: This was an undergraduate research paper and Dr. Ernest Croot, who is listed as one of the authors of this paper was not notified beforehand and this paper was uploaded without him knowing. I deeply apologize for this incident and wish to withdraw this paper
Subjects: Number Theory (math.NT)
[24]  arXiv:2301.01925 [pdf, ps, other]
Title: Selberg's central limit theorem of $L$-functions near the critical line
Authors: Yoonbok Lee
Subjects: Number Theory (math.NT)
[25]  arXiv:2301.02107 [pdf, ps, other]
Title: Universally defining $\mathbb{Z}$ in $\mathbb{Q}$ with $10$ quantifiers
Authors: Nicolas Daans
Comments: 20 pages, author approved manuscript
Journal-ref: In: Journal of the London Mathematical Society 109.2 (2024), e12864
Subjects: Number Theory (math.NT)
[26]  arXiv:2301.02135 [pdf, other]
Title: A Database of Modular Forms on Noncongruence Subgroups
Authors: David Berghaus, Hartmut Monien, Danylo Radchenko
Comments: Comments are welcome!
Subjects: Number Theory (math.NT)
[27]  arXiv:2301.02141 [pdf, ps, other]
Title: A refinement of Lang's formula for the sum of powers of integers
Authors: José L. Cereceda
Comments: 9 pages
Journal-ref: International Mathematical Forum 18(2), 2023, pp. 57-68
Subjects: Number Theory (math.NT)
[28]  arXiv:2301.02222 [pdf, other]
Title: Computing nonsurjective primes associated to Galois representations of genus $2$ curves
Authors: Barinder S.Banwait, Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob Mayle, Padmavathi Srinivasan, Isabel Vogt
Subjects: Number Theory (math.NT)
[29]  arXiv:2301.02223 [pdf, ps, other]
Title: Measuring the Space of Metaplectic Whittaker Functions
Authors: Ilani Axelrod-Freed, Claire Frechette, Veronica Lang
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[30]  arXiv:2301.02377 [src]
Title: On square-free numbers generated from given sets of primes II
Authors: Gábor Román
Comments: Referenced article contained an erroneous argument
Subjects: Number Theory (math.NT)
[31]  arXiv:2301.02381 [pdf, ps, other]
Title: Existence of primitive pairs with two prescribed traces over finite fields
Authors: Aakash Choudhary, R.K. Sharma
Subjects: Number Theory (math.NT)
[32]  arXiv:2301.02391 [pdf, ps, other]
Title: On effective irrationality exponents of cubic irrationals
Authors: Dzmitry Badziahin
Comments: 17 pages
Subjects: Number Theory (math.NT)
[33]  arXiv:2301.02492 [pdf, ps, other]
Title: Jensen polynomials associated with Wright's circle method: Hyperbolicity and Turán inequalities
Authors: Jashan Bal, Fern Haraldson, Joshua Males, Ian Thompson
Comments: Undergraduate research supported by the Manitoba eXperimental Mathematics Laboratory. Comments welcome! This iteration fixes some constants in Theorem 1.4 and its proof
Subjects: Number Theory (math.NT)
[34]  arXiv:2301.02770 [pdf, ps, other]
Title: On Primorial Numbers
Authors: Jonatan Gomez
Subjects: Number Theory (math.NT)
[35]  arXiv:2301.02838 [pdf, ps, other]
Title: Congruences of the $q$-Fibonacci sequence related with its transcendence
Authors: Takumi Anzawa, Hidetaka Funakura
Comments: 13 pages,
Subjects: Number Theory (math.NT)
[36]  arXiv:2301.02861 [pdf, ps, other]
Title: Identities involving degenerate harmonic and degenerate hyperharmonic numbers
Authors: Hye Kyung Kim, Dae San Kim, Taekyun Kim
Comments: 10pages
Subjects: Number Theory (math.NT)
[37]  arXiv:2301.02951 [pdf, ps, other]
Title: Class Number of the Imaginary Quadratic Field and Quadratic Residues Identities
Authors: Jorge Garcia
Subjects: Number Theory (math.NT)
[38]  arXiv:2301.03050 [pdf, other]
Title: A lot of fudge around A + B = C
Authors: Benne de Weger
Subjects: Number Theory (math.NT)
[39]  arXiv:2301.03135 [pdf, ps, other]
Title: On an upper bound of the degree of polynomial identities regarding linear recurrence sequences
Authors: Ana Paula Chaves, Carlos Gustavo Moreira, Eduardo Henrique no Nascimento
Subjects: Number Theory (math.NT)
[40]  arXiv:2301.03137 [pdf, ps, other]
Title: Gaps on the intersection numbers of sections on a rational elliptic surface
Authors: Renato Dias Costa
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[41]  arXiv:2301.03149 [pdf, other]
Title: "A Handbook of Integer Sequences" Fifty Years Later
Authors: N. J. A. Sloane
Comments: 23 pages, 12 figures. Added a reference, minor updates and corrections
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[42]  arXiv:2301.03165 [pdf, ps, other]
Title: Explicit bounds on $ζ(s)$ in the critical strip and a zero-free region
Authors: Andrew Yang
Comments: 51 pages. Updates in response to reviewer feedback
Subjects: Number Theory (math.NT)
[43]  arXiv:2301.03176 [pdf, ps, other]
Title: A note on infinite series whose terms involve truncated degenerate exponentials
Authors: Dae San Kim, Hye Kyung Kim, Taekyun Kim
Comments: 7 pages
Subjects: Number Theory (math.NT)
[44]  arXiv:2301.03255 [pdf, ps, other]
Title: The simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials
Authors: Gennadiy Ilyuta
Comments: in Russian
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[45]  arXiv:2301.03486 [pdf, ps, other]
Title: A family of elliptic curves with non-trivial Shafarevich-Tate group
Authors: Debopam Chakraborty, Vinodkumar Ghale
Comments: Comments are welcome. arXiv admin note: text overlap with arXiv:2212.11178
Subjects: Number Theory (math.NT)
[46]  arXiv:2301.03569 [pdf, other]
Title: Codes and modular curves
Authors: Alain Couvreur
Comments: Lecture notes for a course given at the Algebraic Coding Theory (ACT) summer school 2022
Subjects: Number Theory (math.NT); Information Theory (cs.IT); Algebraic Geometry (math.AG)
[47]  arXiv:2301.03586 [pdf, ps, other]
Title: The Prime Number Theorem and Primorial Numbers
Authors: Jonatan Gomez
Comments: arXiv admin note: text overlap with arXiv:2301.02770
Subjects: Number Theory (math.NT)
[48]  arXiv:2301.03738 [pdf, ps, other]
Title: Hyperbolic summations derived using the Jacobi functions $\text{dc}$ and $\text{nc}$
Authors: John M. Campbell
Comments: Submitted for publication
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)
[49]  arXiv:2301.03823 [pdf, ps, other]
Title: On some analytic properties of a function associated with the Selberg class satisfying certain special conditions
Authors: Hideto Iwata
Comments: 25 pages
Subjects: Number Theory (math.NT)
[50]  arXiv:2301.04063 [pdf, ps, other]
Title: On the number of Diophantine $m$-tuples in finite fields
Authors: Igor E. Shparlinski
Subjects: Number Theory (math.NT)
[51]  arXiv:2301.04287 [pdf, ps, other]
Title: On inverted Kloosterman sums over finite fields
Authors: Xin Lin, Daqing Wan
Comments: 18 pages
Subjects: Number Theory (math.NT)
[52]  arXiv:2301.04365 [pdf, ps, other]
Title: Lagrange-like spectrum of perfect additive complements
Authors: Balázs Bárány, Jin-Hui Fang, Csaba Sándor
Subjects: Number Theory (math.NT)
[53]  arXiv:2301.04390 [pdf, ps, other]
Title: The typical size of character and zeta sums is $o(\sqrt{x})$
Authors: Adam J. Harper
Comments: 34 pages, including 13 page introduction
Subjects: Number Theory (math.NT)
[54]  arXiv:2301.04405 [pdf, ps, other]
Title: The sup-norm problem for automorphic cusp forms of $\mathrm{PGL}(n,\mathbb{Z}[i])$
Authors: Péter Maga, Gergely Zábrádi
Subjects: Number Theory (math.NT)
[55]  arXiv:2301.04464 [pdf, ps, other]
Title: Runs of Consecutive Integers Having the Same Number of Divisors
Authors: Vlad-Titus Spătaru
Journal-ref: The PUMP Journal of Undergraduate Research, Vol. 6 (2023), 96-101
Subjects: Number Theory (math.NT)
[56]  arXiv:2301.04532 [pdf, ps, other]
Title: Modularity of Nahm Sums for the Tadpole Diagram
Authors: Antun Milas, Liuquan Wang
Comments: 25 pages
Subjects: Number Theory (math.NT)
[57]  arXiv:2301.04635 [pdf, other]
Title: On The Determination of Sets By Their Subset Sums
Authors: Andrea Ciprietti, Federico Glaudo
Comments: 27 pages, 1 figure; fixed order of authors, improved inversion formula
Subjects: Number Theory (math.NT); Combinatorics (math.CO); Group Theory (math.GR)
[58]  arXiv:2301.05044 [pdf, ps, other]
Title: On almost-prime $k$-tuples
Authors: Bin Chen
Subjects: Number Theory (math.NT)
[59]  arXiv:2301.05248 [pdf, ps, other]
Title: Some multiplicative functions over $\mathbb{F}_2$
Authors: Luis H. Gallardo, Olivier Rahavandrainy
Subjects: Number Theory (math.NT)
[60]  arXiv:2301.05329 [pdf, other]
Title: Vanishing of Quartic and Sextic Twists of $L$-functions
Authors: Jennifer Berg, Nathan C. Ryan, Matthew P. Young
Comments: 31 pages, 5 figures
Subjects: Number Theory (math.NT)
[61]  arXiv:2301.05348 [pdf, ps, other]
Title: Representations of the $p$-Adic $GSpin_4$ and $GSpin_6$ and the Adjoint L-Function
Authors: Mahdi Asgari, Kwangho Choiy
Comments: Abstract, introduction and the bibliography slightly updated; removed some typos
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[62]  arXiv:2301.05390 [pdf, other]
Title: Mahler measure of a non-reciprocal family of elliptic curves
Authors: Detchat Samart
Comments: Corrigendum: sign error in Theorem 1 and miscalculation in the proof of Lemma 9 fixed
Journal-ref: Q. J. Math. 74 (2023), 1187--1208
Subjects: Number Theory (math.NT)
[63]  arXiv:2301.05431 [pdf, ps, other]
Title: An elementary approach to the generalized Ramanujan-Nagell equation
Authors: Elif Kızıldere Mutlu, Maohua Le, Gökhan Soydan
Comments: accepted for publication in Indian Journal of Pure and Applied Mathematics (2023)
Subjects: Number Theory (math.NT)
[64]  arXiv:2301.05561 [pdf, ps, other]
Title: Lacunary sequences in analysis, probability and number theory
Authors: Christoph Aistleitner, Istvan Berkes, Robert Tichy
Comments: 58 pages. This is mostly a survey paper. The final section contains new results (with proofs). Version 2: minor corrections and updates. Version 3: corrected an error on p.8 (thanks to Jean-Francois Burnol for pointing out the error)
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA); Probability (math.PR)
[65]  arXiv:2301.05564 [pdf, ps, other]
Title: Abelian surfaces with supersingular good reduction and non semisimple Tate module
Authors: Maja Volkov
Comments: 7 pages, published
Journal-ref: International Journal of Number Theory Vol. 6, No. 4 (2010), 811-818
Subjects: Number Theory (math.NT)
[66]  arXiv:2301.05566 [pdf, ps, other]
Title: Generalized Wall-Sun-Sun primes and monogenic power compositional trinomials
Authors: Lenny Jones
Comments: arXiv admin note: substantial text overlap with arXiv:2211.14834
Subjects: Number Theory (math.NT)
[67]  arXiv:2301.05656 [pdf, ps, other]
Title: Counting (skew-)reciprocal Littlewood polynomials with square discriminant
Authors: David Hokken
Comments: 17 pages, 1 figure
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[68]  arXiv:2301.05673 [pdf, ps, other]
Title: Explicit Approximations to Class Field Towers
Authors: Frauke M. Bleher, Ted Chinburg
Comments: 12 pages
Subjects: Number Theory (math.NT)
[69]  arXiv:2301.05700 [pdf, other]
Title: Applications of representation theory and of explicit units to Leopoldt's conjecture
Authors: Fabio Ferri, Henri Johnston
Comments: 23 pages; preliminary version; comments welcome
Subjects: Number Theory (math.NT)
[70]  arXiv:2301.05758 [pdf, other]
Title: Pell and associated Pell braid sequences as GCDs of sums of $k$ consecutive Pell, balancing, and related numbers
Authors: aBa Mbirika, Janee Schrader, Jürgen Spilker
Comments: 24 pages, Version 3 is the published version in the Journal of Integer Sequences
Journal-ref: Journal of Integer Sequences, Vol. 26, Issue 6 (2023), Article 23.6.4
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[71]  arXiv:2301.05779 [pdf, ps, other]
Title: Li coefficients as norms of functions in a model space
Authors: Masatoshi Suzuki
Comments: 13 pages
Subjects: Number Theory (math.NT)
[72]  arXiv:2301.05801 [pdf, ps, other]
Title: Expressions of content-parametrized Schur multiple zeta-functions via the Giambelli formula
Authors: Kohji Matsumoto, Maki Nakasuji
Subjects: Number Theory (math.NT)
[73]  arXiv:2301.05822 [pdf, other]
Title: The Plum-Blossom Wedge Product Method for Multiplication and Division of Multi-digit Integers
Authors: Yongwen Zhu
Comments: 16 pages. arXiv admin note: text overlap with arXiv:2110.01820
Subjects: Number Theory (math.NT)
[74]  arXiv:2301.05855 [pdf, ps, other]
Title: Uniform Diophantine approximation and run-length function in continued fractions
Authors: Bo Tan, Qing-Long Zhou
Comments: 33 pages, any comments for improvements are appreciated
Subjects: Number Theory (math.NT)
[75]  arXiv:2301.05906 [pdf, ps, other]
Title: Hopf algebras and multiple zeta values in positive characteristic
Authors: Bo-Hae Im, Hojin Kim, Khac Nhuan Le, Tuan Ngo Dac, Lan Huong Pham
Comments: 116 pages
Subjects: Number Theory (math.NT)
[76]  arXiv:2301.05922 [pdf, ps, other]
Title: Local-global divisibility on algebraic tori
Authors: Jessica Alessandrì, Rocco Chirivì, Laura Paladino
Subjects: Number Theory (math.NT)
[77]  arXiv:2301.05929 [pdf, ps, other]
Title: A note on multi-Euler-Genocchi and degenerate multi-Euler-Genocchi polynomials
Authors: Taekyun Kim, Dae San Kim, Jin-Woo park, Jongkyum Kwon
Comments: 9 pages
Subjects: Number Theory (math.NT)
[78]  arXiv:2301.06053 [pdf, ps, other]
Title: On some $p$-adic and mod $p$ representations of quaternion algebra over $\mathbb{Q}_p$
Authors: Yongquan Hu, Haoran Wang
Comments: 38 pages. Comments welcome !
Subjects: Number Theory (math.NT)
[79]  arXiv:2301.06067 [pdf, ps, other]
Title: Multiple $T$-values and iterated log-tangent integrals
Authors: Ryota Umezawa
Comments: 17 pages
Subjects: Number Theory (math.NT)
[80]  arXiv:2301.06095 [pdf, ps, other]
Title: Sums of singular series along arithmetic progressions and with smooth weights
Authors: Vivian Kuperberg
Comments: 19 pages
Subjects: Number Theory (math.NT)
[81]  arXiv:2301.06129 [pdf, ps, other]
Title: Thue equations over $\mathbb{C}(T)$: The Complete Solution of a Simple quartic family
Authors: Bernadette Faye, Ingrid Vukusic, Ezra Waxman, Volker Ziegler
Comments: 19 pages
Subjects: Number Theory (math.NT)
[82]  arXiv:2301.06177 [pdf, ps, other]
Title: Approximation and algebraicity in positive characteristic Hahn fields
Authors: Victor Lisinski
Comments: Minor update to clarify notation
Subjects: Number Theory (math.NT); Logic (math.LO)
[83]  arXiv:2301.06218 [pdf, ps, other]
Title: Fixed points of the sum of divisors function on $F_2[x]$
Authors: Luis H. Gallardo
Subjects: Number Theory (math.NT)
[84]  arXiv:2301.06317 [pdf, ps, other]
Title: Four types of variant Euler harmonic sums
Authors: Necdet Batir, Junesang Choi
Comments: Submitted
Subjects: Number Theory (math.NT)
[85]  arXiv:2301.06430 [pdf, ps, other]
Title: Note sur les périodes d'Iwasawa associées à un $\varphi$-module filtré
Authors: Bernadette Perrin-Riou
Comments: 31 pages, in French language
Subjects: Number Theory (math.NT)
[86]  arXiv:2301.06440 [pdf, ps, other]
Title: Computing points on bielliptic modular curves over fixed quadratic fields
Authors: Philippe Michaud-Jacobs
Comments: 8 pages
Subjects: Number Theory (math.NT)
[87]  arXiv:2301.06495 [pdf, ps, other]
Title: Transcendence of some infinite series
Authors: Fedoua Sghiouer, Kacem Belhroukia, Ali Kacha
Subjects: Number Theory (math.NT)
[88]  arXiv:2301.06536 [pdf, ps, other]
Title: There are Salem numbers with trace $-3$ and every degree at least $34$
Authors: Giacomo Cherubini, Pavlo Yatsyna
Comments: 7 pages; changed title; to appear in Exp. Math
Subjects: Number Theory (math.NT)
[89]  arXiv:2301.06750 [pdf, other]
Title: Sum-free sets in $Z_5^n$
Authors: Vsevolod F. Lev
Subjects: Number Theory (math.NT)
[90]  arXiv:2301.06853 [pdf, ps, other]
Title: The BMO-discrepancy suffers from the curse of dimensionality
Authors: Friedrich Pillichshammer
Subjects: Number Theory (math.NT); Numerical Analysis (math.NA)
[91]  arXiv:2301.06934 [pdf, other]
Title: Bessel functions on GL(n), I
Authors: Jack Buttcane
Comments: 60 pages, 1 figure; Appendix on GL(4) will now appear in a separate paper
Subjects: Number Theory (math.NT)
[92]  arXiv:2301.06970 [pdf, ps, other]
Title: Binary Cubic Forms and Rational Cube Sum Problem
Authors: Somnath Jha, Dipramit Majumdar, B. Sury
Subjects: Number Theory (math.NT)
[93]  arXiv:2301.07065 [pdf, ps, other]
Title: On a problem of Erdős and Sárközy about sequences with no term dividing the sum of two larger terms
Authors: Benjamin Bedert
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[94]  arXiv:2301.07334 [pdf, ps, other]
Title: Almost Repdigits in $ k-$generalized Lucas Sequences
Authors: Alaa Altassan, Murat Alan
Subjects: Number Theory (math.NT)
[95]  arXiv:2301.07375 [pdf, ps, other]
Title: Solving cubic equations by completing the cube and higher degree equations by completing powers
Authors: Hua-Lin Huang, Shengyuan Ruan, Xiaodan Xu, Yu Ye
Comments: 11 pages. Minor revision. A new version with more details will be published in the American Mathematical Monthly
Subjects: Number Theory (math.NT); Rings and Algebras (math.RA)
[96]  arXiv:2301.07561 [pdf, other]
Title: On the Generalization of Radamacher's Proof to $\vartheta_1(z,τ)$
Authors: Ali Saraeb, Maher Me'meh
Subjects: Number Theory (math.NT); Nuclear Theory (nucl-th)
[97]  arXiv:2301.07679 [pdf, other]
Title: Products of primes in arithmetic progressions
Authors: Kaisa Matomäki, Joni Teräväinen
Comments: 45 pages; referee comments incorprated
Subjects: Number Theory (math.NT)
[98]  arXiv:2301.07869 [pdf, ps, other]
Title: On Siegel Zeros of Symmetric Power L-functions
Authors: Shifan Zhao
Comments: The author was notified that Theorem 1.1 in this note was obtained by Jesse Thorner in his 2021 paper "Effective forms of the Sate-Tate conjecture". The author was not aware of this when he posted it on arXiv. Therefore, the author does not intend to submit this note for publication
Subjects: Number Theory (math.NT)
[99]  arXiv:2301.08099 [pdf, ps, other]
Title: Heronian elliptic curves and the size of the $2$-Selmer group
Authors: Debopam Chakraborty, Vinodkumar Ghale
Comments: Comments are welcome; 9 pages
Subjects: Number Theory (math.NT)
[100]  arXiv:2301.08211 [pdf, other]
Title: Berndt-Type Integrals and Series Associated with Ramanujan and Jacobi Elliptic Functions
Authors: Ce Xu, Jianqiang Zhao
Comments: 25 pages
Subjects: Number Theory (math.NT)
[101]  arXiv:2301.08212 [pdf, ps, other]
Title: On Furstenberg's Diophantine result
Authors: Dmitry Gayfulin, Nikolay Moshchevitin
Comments: minor corrections
Journal-ref: Moscow J. Comb. Number Th. 12 (2023) 259-272
Subjects: Number Theory (math.NT)
[102]  arXiv:2301.08312 [pdf, ps, other]
Title: Computing torsion for plane quartics without using height bounds
Authors: Raymond van Bommel
Comments: Copy of Magma code and data file repository included as ancillary file. Comments always welcome!
Subjects: Number Theory (math.NT)
[103]  arXiv:2301.08383 [pdf, ps, other]
Title: On the Artin formalism for $p$-adic Garrett--Rankin $L$-functions
Authors: Kâzım Büyükboduk, Daniele Casazza, Ryotaro Sakamoto
Comments: 92 pages
Subjects: Number Theory (math.NT)
[104]  arXiv:2301.08461 [pdf, ps, other]
Title: On The Hecke Eigenforms of Half-Integral Weight and Dedekind-Eta Products
Authors: Banu Irez Aydin, Ilker Inam
Subjects: Number Theory (math.NT)
[105]  arXiv:2301.08531 [pdf, ps, other]
Title: Computation of Hilbert class polynomials and modular polynomials from supersingular elliptic curves
Authors: Antonin Leroux
Subjects: Number Theory (math.NT)
[106]  arXiv:2301.08825 [pdf, ps, other]
Title: Bounding the Largest Inhomogeneous Approximation Constant
Authors: Bishnu Paudel, Chris Pinner
Subjects: Number Theory (math.NT)
[107]  arXiv:2301.08879 [pdf, ps, other]
Title: Ramanujan Theta Function Identities and Quadratic Numbers
Authors: Hemant Masal, Hemant Bhate, Subhash Kendre
Comments: 11 pages
Subjects: Number Theory (math.NT)
[108]  arXiv:2301.08960 [pdf, ps, other]
Title: New symmetries for Dyson's rank function
Authors: F. G. Garvan, Rishabh Sarma
Comments: 51 pages; some typos corrected
Subjects: Number Theory (math.NT)
[109]  arXiv:2301.08977 [pdf, other]
Title: Modular algorithms for Gross-Stark units and Stark-Heegner points
Authors: Håvard Damm-Johnsen
Comments: 23 pages, 4 tables, 2 figures
Subjects: Number Theory (math.NT)
[110]  arXiv:2301.09053 [pdf, ps, other]
Title: Large values of the error term in the prime number theorem
Authors: Bryce Kerr
Comments: Comments welcome
Subjects: Number Theory (math.NT)
[111]  arXiv:2301.09073 [pdf, ps, other]
Title: The $μ$-invariant change for abelian varieties over finite $p$-extensions of global fields
Authors: Ki-Seng Tan, Fabien Trihan, Kwok-Wing Tsoi
Comments: 31 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[112]  arXiv:2301.09118 [pdf, other]
Title: Cocycles de groupe pour GL$_n$ et arrangements d'hyperplans
Authors: Nicolas Bergeron, Pierre Charollois, Luis Garcia
Comments: 141 pages, 3 figures, the text is in French. Submitted as a CRM Monograph
Subjects: Number Theory (math.NT)
[113]  arXiv:2301.09135 [pdf, ps, other]
Title: Uniformizer of the False Tate Curve Extension of $\mathbb{Q}_p$ (II)
Authors: Shanwen Wang, Yijun Yuan
Comments: Accepted by IJNT
Subjects: Number Theory (math.NT)
[114]  arXiv:2301.09176 [pdf, ps, other]
Title: The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, I
Authors: John Cullinan, Nathan Kaplan
Subjects: Number Theory (math.NT)
[115]  arXiv:2301.09196 [pdf, ps, other]
Title: Universality for Cokernels of Dedekind Domain Valued Random Matrices
Authors: Eric Yan
Comments: 14 pages, no figures
Subjects: Number Theory (math.NT); Probability (math.PR)
[116]  arXiv:2301.09206 [pdf, ps, other]
Title: On some multiplicative properties of large difference sets
Authors: Ilya D. Shkredov
Comments: 19 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[117]  arXiv:2301.09243 [pdf, ps, other]
Title: On Riemann type relations for theta functions on bounded symmetric domains of type $I$
Authors: Atsuhira Nagano
Comments: 16 pages, typos are corrected, unclear descriptions are corrected, abstract is revised
Journal-ref: Linear Algebra and its Applications, 673 (2023) 177-199
Subjects: Number Theory (math.NT)
[118]  arXiv:2301.09263 [pdf, ps, other]
Title: On the solutions of $x^2= By^p+Cz^p$ and $2x^2= By^p+Cz^p$ over totally real fields
Authors: Narasimha Kumar, Satyabrat Sahoo
Comments: To appear in the Ramanujan Journal
Subjects: Number Theory (math.NT)
[119]  arXiv:2301.09290 [pdf, ps, other]
Title: The Massey Vanishing Conjecture for fourfold Massey products modulo 2
Authors: Alexander Merkurjev, Federico Scavia
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[120]  arXiv:2301.09373 [pdf, ps, other]
Title: Constructing irreducible polynomials recursively with a reverse composition method
Authors: Anna-Maurin Graner, Gohar M. Kyureghyan
Subjects: Number Theory (math.NT)
[121]  arXiv:2301.09488 [pdf, ps, other]
Title: Reduced minimal models and torsion
Authors: Alexander J. Barrios
Comments: 14 pages
Subjects: Number Theory (math.NT)
[122]  arXiv:2301.09687 [pdf, ps, other]
Title: Probability theory for random groups arising in number theory
Authors: Melanie Matchett Wood
Comments: ICM 2022 paper from my talk, references/status of problems have not been updated since November 2021
Subjects: Number Theory (math.NT); Combinatorics (math.CO); Probability (math.PR)
[123]  arXiv:2301.09699 [pdf, other]
Title: Series and Product Representations of Gamma, Pseudogamma and Inverse Gamma Functions
Authors: David Peter Hadrian Ulgenes
Subjects: Number Theory (math.NT)
[124]  arXiv:2301.09711 [pdf, ps, other]
Title: Local-global compatibility over function fields
Authors: Siyan Daniel Li-Huerta
Comments: Removed restrictions on $p$ in Theorem B and fixed minor errors. 54 pages. Comments welcome!
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[125]  arXiv:2301.09720 [pdf, ps, other]
Title: Packets of Serre weights for generic locally reducible two-dimensional Galois representations
Authors: Misja F.A. Steinmetz
Comments: 17 pages
Subjects: Number Theory (math.NT)
[126]  arXiv:2301.09760 [pdf, ps, other]
Title: Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity
Authors: Peter Vang Uttenthal
Comments: 44 pages
Subjects: Number Theory (math.NT)
[127]  arXiv:2301.09796 [pdf, ps, other]
Title: On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves $X_0(\mathfrak{p}^r)$
Authors: Sheng-Yang Kevin Ho
Comments: 23 pages, to appear on International Journal of Number Theory
Subjects: Number Theory (math.NT)
[128]  arXiv:2301.09845 [pdf, ps, other]
Title: Biases in Non-Unitary Partitions
Authors: Pankaj Jyoti Mahanta, Manjil P. Saikia, Abhishek Sarma
Comments: 11 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[129]  arXiv:2301.09846 [pdf, ps, other]
Title: Some Missed Congruences modulo powers of $2$ for $t$-colored overpartitions
Authors: Manjil P. Saikia
Comments: 7 pages, published
Journal-ref: Bolet\'in de la Sociedad Matem\'atica Mexicana, 2023, 29 (1), Article 15, 10 pp
Subjects: Number Theory (math.NT)
[130]  arXiv:2301.09883 [pdf, ps, other]
Title: An effective Pila-Wilkie theorem for sets definable using Pfaffian functions, with some diophantine applications
Authors: Gal Binyamini, Gareth O. Jones, Harry Schmidt, Margaret E.M. Thomas
Comments: Comments welcome!
Subjects: Number Theory (math.NT); Logic (math.LO)
[131]  arXiv:2301.09958 [pdf, ps, other]
Title: Algebraic automatic continued fractions in characteristic $2$ II
Authors: Yining Hu
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[132]  arXiv:2301.10118 [pdf, other]
Title: Computing isogeny classes of typical principally polarized abelian surfaces over the rationals
Authors: Raymond van Bommel, Shiva Chidambaram, Edgar Costa, Jean Kieffer
Comments: Presented at the conference "LMFDB, Computation, and Number Theory" (LuCaNT), Jul 10-14, 2023 at ICERM
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[133]  arXiv:2301.10136 [pdf, ps, other]
Title: A note on the Hasse norm principle
Authors: Peter Koymans, Nick Rome
Comments: 8 pages. Final version, to appear Bull. Lon. Math. Soc
Subjects: Number Theory (math.NT)
[134]  arXiv:2301.10303 [pdf, ps, other]
Title: Infinite partial sumsets in the primes
Authors: Terence Tao, Tamar Ziegler
Comments: 13 pages, no figures. A reference has been corrected
Journal-ref: Journal d'Analyse Math\'ematique Volume 151, pages 375--389, (2023)
Subjects: Number Theory (math.NT)
[135]  arXiv:2301.10342 [pdf, ps, other]
Title: Two-step nilpotent extensions are not anabelian
Authors: Peter Koymans, Carlo Pagano
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[136]  arXiv:2301.10357 [pdf, other]
Title: Counting modular forms by rationality field
Authors: Alex Cowan, Kimball Martin
Subjects: Number Theory (math.NT)
[137]  arXiv:2301.10359 [pdf, other]
Title: Tempered Perfect Lattices in the Binary Case
Authors: Erik Bahnson, Mark McConnell, Kyrie McIntosh
Comments: 35 pages, 5 figures
Journal-ref: Journal of Number Theory, Volume 261, 2024, Pages 161-189
Subjects: Number Theory (math.NT)
[138]  arXiv:2301.10501 [pdf, ps, other]
Title: Congruences for the difference of even and odd number of parts of the cubic and some analogous partition functions
Authors: Nayandeep Deka Baruah, Abhishek Sharma
Comments: 20 pages
Subjects: Number Theory (math.NT)
[139]  arXiv:2301.10509 [pdf, ps, other]
Title: On the modularity of elliptic curves over imaginary quadratic fields
Authors: Ana Caraiani, James Newton
Comments: Associated Magma files can be found at this https URL v2: minor updates
Subjects: Number Theory (math.NT)
[140]  arXiv:2301.10529 [pdf, other]
Title: Smooth Subsum Search: A heuristic for practical integer factorization
Authors: Markus Hittmeir
Comments: 23 pages
Subjects: Number Theory (math.NT)
[141]  arXiv:2301.10634 [pdf, ps, other]
Title: Freezing transition and moments of moments of the Riemann zeta function
Authors: Michael J. Curran
Comments: Added references, simplified proofs, and fixed typos
Subjects: Number Theory (math.NT)
[142]  arXiv:2301.10661 [pdf, ps, other]
Title: Values of $p$-adic hypergeometric functions, and $p$-adic analogue of Kummer's linear identity
Authors: Neelam Saikia
Subjects: Number Theory (math.NT)
[143]  arXiv:2301.10676 [pdf, other]
Title: The $p$-arithmetic homology of mod $p$ representations of $\mathrm{GL}_2(\mathbb{Q}_p)$
Authors: Guillem Tarrach
Subjects: Number Theory (math.NT)
[144]  arXiv:2301.10722 [pdf, other]
Title: Numerical estimates on the Landau-Siegel zero and other related quantities
Authors: Alessandro Languasco
Comments: 18 pages, 4 tables, 10 figures. Several typos corrected
Subjects: Number Theory (math.NT)
[145]  arXiv:2301.10817 [pdf, ps, other]
Title: Cohomology at Infinity and the Well-Tempered Complex
Authors: Dylan Galt, Mark McConnell
Subjects: Number Theory (math.NT)
[146]  arXiv:2301.10979 [pdf, ps, other]
Title: Mollified Moments of Cubic Dirichlet L-Functions over the Eisenstein Field
Authors: Ahmet M. Güloğlu, Hamza Yesilyurt
Subjects: Number Theory (math.NT)
[147]  arXiv:2301.10991 [pdf, ps, other]
Title: Transformation and symmetries for the Andrews-Garvan crank function
Authors: Rishabh Sarma
Comments: 35 pages. arXiv admin note: text overlap with arXiv:2301.08960
Subjects: Number Theory (math.NT)
[148]  arXiv:2301.11056 [pdf, other]
Title: A New Lower Bound in the $abc$ Conjecture
Authors: Curtis Bright
Journal-ref: Can. Math. Bull. 67 (2024) 369-378
Subjects: Number Theory (math.NT); Discrete Mathematics (cs.DM)
[149]  arXiv:2301.11148 [pdf, ps, other]
Title: On a problem of Nathanson related to minimal asymptotic bases of order $h$
Authors: Shi-Qiang Chen, Csaba Sándor, Quan-Hui Yang
Comments: 8 pages
Subjects: Number Theory (math.NT)
[150]  arXiv:2301.11160 [pdf, ps, other]
Title: Estimates of Picard modular cusp forms
Authors: Anilatmaja Aryasomayajula, Bakar Balasubramanyam, Dyuti Roy
Comments: This is the first draft, and any comments, suggestions, and remarks are most welcome
Subjects: Number Theory (math.NT)
[151]  arXiv:2301.11169 [pdf, ps, other]
Title: Computing the endomorphism ring of an elliptic curve over a number field
Authors: John E. Cremona, Andrew V. Sutherland
Comments: minor corrections; 21 pages
Subjects: Number Theory (math.NT)
[152]  arXiv:2301.11184 [pdf, ps, other]
Title: Linear congruence relations for exponents of Borcherds products
Authors: Andreas Mono, Badri Vishal Pandey
Comments: We provide 2 ancillary files supplementing the appendix of our paper. Comments welcome
Subjects: Number Theory (math.NT)
[153]  arXiv:2301.11192 [pdf, ps, other]
Title: Certain Diophantine equations and new parity results for $21$-regular partitions
Authors: Ajit Singh, Gurinder Singh, Rupam Barman
Comments: 15 pages
Subjects: Number Theory (math.NT)
[154]  arXiv:2301.11193 [pdf, ps, other]
Title: Linear and quadratic Chabauty for affine hyperbolic curves
Authors: Marius Leonhardt, Martin Lüdtke, J. Steffen Müller
Comments: 20 pages; comments welcome
Subjects: Number Theory (math.NT)
[155]  arXiv:2301.11209 [pdf, other]
Title: A Bound for Stieltjes Constants
Authors: Sebastian Pauli, Filip Saidak
Comments: 9 pages, 3 figures
Subjects: Number Theory (math.NT); Numerical Analysis (math.NA)
[156]  arXiv:2301.11224 [pdf, ps, other]
Title: Cohomological properties of absolute Galois groups and their profinite completion
Authors: Tamar Bar-On
Subjects: Number Theory (math.NT); Group Theory (math.GR)
[157]  arXiv:2301.11369 [pdf, ps, other]
Title: On unramified automorphic forms over the projective line
Authors: Roberto Alvarenga, Valdir Pereira Junior
Comments: 15 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[158]  arXiv:2301.11437 [pdf, ps, other]
Title: Densities for Elliptic Curves over Global Function Fields
Authors: Andrew Yao
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[159]  arXiv:2301.11536 [pdf, ps, other]
Title: $2$-reflective lattices of signature $(n,2)$ with $n\geq 8$
Authors: Haowu Wang
Comments: 12 pages, comments welcome!
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[160]  arXiv:2301.11552 [pdf, ps, other]
Title: Cuspidal components of Siegel modular forms for large discrete series representations of $\mathrm{Sp}_4(\mathbb{R})$
Authors: Shuji Horinaga, Hiro-aki Narita
Subjects: Number Theory (math.NT)
[161]  arXiv:2301.11606 [pdf, ps, other]
Title: Reciprocity laws for $(\varphi_L,Γ_L)$-modules over Lubin-Tate extensions
Authors: Peter Schneider, Otmar Venjakob
Comments: 149 pages
Subjects: Number Theory (math.NT)
[162]  arXiv:2301.11617 [pdf, ps, other]
Title: Compairing categories of Lubin-Tate $(\varphi_L,Γ_L)$-modules
Authors: Peter Schneider, Otmar Venjakob
Subjects: Number Theory (math.NT)
[163]  arXiv:2301.11643 [pdf, ps, other]
Title: Primes, knots and periodic orbits
Authors: Christopher Deninger
Subjects: Number Theory (math.NT); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)
[164]  arXiv:2301.11747 [pdf, ps, other]
Title: The zeta function of a recurrence sequence of arbitrary degree
Authors: Álvaro Serrano Holgado, Luis Manuel Navas Vicente
Subjects: Number Theory (math.NT)
[165]  arXiv:2301.11782 [pdf, ps, other]
Title: A note on Bohr's theorem for Beurling integer systems
Authors: Frederik Broucke, Athanasios Kouroupis, Karl-Mikael Perfekt
Journal-ref: Math. Ann. (2023)
Subjects: Number Theory (math.NT); Complex Variables (math.CV); Functional Analysis (math.FA)
[166]  arXiv:2301.11901 [pdf, ps, other]
Title: Sums of Cusp Form Coefficients Along Quadratic Sequences
Authors: Chan Ieong Kuan, David Lowry-Duda, Alexander Walker, Raphael S. Steiner
Comments: 22 pages, with a 14 page appendix from Raphael S. Steiner. This version corrects a mistake in the previous, where lifts of holomorphic modular forms to Maass forms were omitted; and it has an updated abstract
Subjects: Number Theory (math.NT)
[167]  arXiv:2301.12021 [pdf, ps, other]
Title: The quotient set of the quadratic distance set over finite fields
Authors: Alex Iosevich, Doowon Koh, Firdavs Rakhmonov
Comments: 17 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[168]  arXiv:2301.12143 [pdf, ps, other]
Title: The endoscopic classification of representations of non-quasi-split odd special orthogonal groups
Authors: Hiroshi Ishimoto
Comments: 68 pages. Any comments are welcome
Subjects: Number Theory (math.NT)
[169]  arXiv:2301.12146 [pdf, ps, other]
Title: On Tribonacci Sequences
Authors: Luke Pebody
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[170]  arXiv:2301.12248 [pdf, ps, other]
Title: Gessel-Lucas congruences for sporadic sequences
Authors: Armin Straub
Comments: 17 pages
Subjects: Number Theory (math.NT)
[171]  arXiv:2301.12270 [pdf, ps, other]
Title: An upper bound on the inhomogeneous approximation constants
Authors: Bishnu Paudel, Chris Pinner
Subjects: Number Theory (math.NT)
[172]  arXiv:2301.12350 [pdf, ps, other]
Title: On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2
Authors: Yining Hu
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[173]  arXiv:2301.12550 [pdf, ps, other]
Title: Apéry-Like Sums and Colored Multiple Zeta Values
Authors: Ce Xu, Jianqiang Zhao
Comments: 29 pages
Journal-ref: Adv. Applied Math. Vol. 153 (2024)
Subjects: Number Theory (math.NT)
[174]  arXiv:2301.12585 [pdf, ps, other]
Title: Representing positive integers as a sum of a squarefree number and a small prime
Authors: Ognian Trifonov, Jack Dalton
Subjects: Number Theory (math.NT)
[175]  arXiv:2301.12606 [pdf, ps, other]
Title: On the classification of reflective modular forms
Authors: Haowu Wang
Comments: 19 pages, comments welcome!
Subjects: Number Theory (math.NT)
[176]  arXiv:2301.12615 [pdf, ps, other]
Title: Twisted first moment of quadratic and quadratic twist $L$-functions
Authors: Peng Gao, Liangyi Zhao
Comments: 16 pages
Journal-ref: Funct. Approx. Comment. Math., vol. 70, 2024, no. 1, pp. 101--127
Subjects: Number Theory (math.NT)
[177]  arXiv:2301.12650 [pdf, ps, other]
Title: A q-analogue of symmetric multiple zeta value
Authors: Yoshihiro Takeyama
Comments: 31 pages, no figure. This is a pre-print of an article published in The Ramanujan Journal. The final authenticated version is available online at: this https URL
Subjects: Number Theory (math.NT); Quantum Algebra (math.QA)
[178]  arXiv:2301.12669 [pdf, ps, other]
Title: An induction principle for the Bombieri-Vinogradov theorem over $\mathbb{F}_q[t]$ and a variant of the Titchmarsh divisor problem
Authors: Sampa Dey, Aditi Savalia
Comments: 25 pages
Subjects: Number Theory (math.NT)
[179]  arXiv:2301.12693 [pdf, ps, other]
Title: The local converse theorem for quasi-split $O_{2n}$ and $SO_{2n}$
Authors: Jaeho Haan, Yeansu Kim, Sanghoon Kwon
Comments: Major revision. char(F)=p case is added in this version
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[180]  arXiv:2301.12816 [pdf, ps, other]
Title: Specialization of Mordell-Weil ranks of abelian schemes over surfaces to curves
Authors: Timo Keller
Comments: accepted for publication in International Journal of Number Theory
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[181]  arXiv:2301.12823 [pdf, ps, other]
Title: Pseudorandomness of Sato-Tate Distributions for Elliptic Curves
Authors: Chung Pang Mok, Huimin Zheng
Subjects: Number Theory (math.NT)
[182]  arXiv:2301.12826 [pdf, ps, other]
Title: Moments in the Chebotarev density theorem: non-Gaussian families
Authors: Régis de La Bretèche (IMJ-PRG (UMR\_7586)), Daniel Fiorilli (LMO), Florent Jouve (IMB)
Subjects: Number Theory (math.NT)
[183]  arXiv:2301.12899 [pdf, ps, other]
Title: Moments in the Chebotarev density theorem: general class functions
Authors: Régis de La Bretèche (IMJ-PRG (UMR\_7586)), Daniel Fiorilli (LMO), Florent Jouve (IMB)
Subjects: Number Theory (math.NT)
[184]  arXiv:2301.12981 [pdf, ps, other]
Title: $2$-adic integral models of Shimura varieties with parahoric level structure
Authors: Jie Yang
Comments: 22 pages; any comments are welcome. arXiv admin note: substantial text overlap with arXiv:1512.01149, arXiv:1006.2720 by other authors
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[185]  arXiv:2301.13222 [pdf, other]
Title: Universal quadratic forms and indecomposables in number fields: A survey
Authors: Vítězslav Kala
Comments: 34 pages, journal version
Journal-ref: Communications in Mathematics, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) (July 17, 2023) cm:10896
Subjects: Number Theory (math.NT)
[186]  arXiv:2301.13367 [pdf, ps, other]
Title: On the non-existence of singular Borcherds products
Authors: Haowu Wang, Brandon Williams
Comments: 7 pages, this paper is an extension of Section 3 of arXiv:2207.14518 v1, which will be removed in the new version. Comments welcome!
Subjects: Number Theory (math.NT); Quantum Algebra (math.QA)
[187]  arXiv:2301.13457 [pdf, ps, other]
Title: The prime number theorem for primes in arithmetic progressions at large values
Authors: Ethan S. Lee
Comments: 25 pages, 6 tables, and any comments are always welcomed! A major face-lift over the previous version of this paper following feedback, including new results and refinements
Subjects: Number Theory (math.NT)
[188]  arXiv:2301.13474 [pdf, ps, other]
Title: Generalized Fruit Diophantine equation and Hyperelliptic curves
Authors: Om Prakash, Kalyan Chakraborty
Comments: 11 pages
Subjects: Number Theory (math.NT)
[189]  arXiv:2301.13518 [pdf, ps, other]
Title: Relations between values of arithmetic Gevrey series, and applications to values of the Gamma function
Authors: Stéphane Fischler, Tanguy Rivoal
Comments: 18 pages
Subjects: Number Theory (math.NT)
[190]  arXiv:2301.13650 [pdf, other]
Title: Bounded functions on the character variety
Authors: Konstantin Ardakov, Laurent Berger
Comments: 70 pages. With an appendix by Dragos Crisan and Jingjie Yang
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[191]  arXiv:2301.00268 (cross-list from math-ph) [pdf, ps, other]
Title: Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble
Authors: Brad Rodgers, Harshith Sai Vallabhaneni
Comments: 16 pages. Incorporates referee suggestions
Subjects: Mathematical Physics (math-ph); Number Theory (math.NT)
[192]  arXiv:2301.00644 (cross-list from math.HO) [pdf, other]
Title: Equivalent conditions for the $n$th element of the Beatty sequence $B_{\sqrt{2}}$ being even
Authors: Sela Fried
Subjects: History and Overview (math.HO); Number Theory (math.NT)
[193]  arXiv:2301.00685 (cross-list from math.SP) [pdf, ps, other]
Title: On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus
Authors: Zeév Rudnick, Igor Wigman
Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Geometric Topology (math.GT); Number Theory (math.NT)
[194]  arXiv:2301.01334 (cross-list from math.DS) [pdf, other]
Title: Linking number of modular knots
Authors: James Rickards
Comments: The main results were also proven by Christopher-Lloyd Simon in his thesis and in arxiv:2211.05957, and precedence should go to his work. See the author's note (section 0) for more details
Subjects: Dynamical Systems (math.DS); Geometric Topology (math.GT); Number Theory (math.NT)
[195]  arXiv:2301.01511 (cross-list from math.DS) [pdf, ps, other]
Title: Pointwise Ergodic Theory: Examples and Entropy
Authors: Ben Krause
Comments: My notes for the November 2022 Bourbaki seminar
Subjects: Dynamical Systems (math.DS); Classical Analysis and ODEs (math.CA); Number Theory (math.NT)
[196]  arXiv:2301.01598 (cross-list from math.GT) [pdf, other]
Title: Non-arithmetic uniformization of metric spaces attached to unitary Shimura varieties
Authors: Olivier de Gaay Fortman
Comments: 39 pages. v3: remarks added in Section 1.2, concerning a comparison with the Gromov--Piatetski-Shapiro construction, and the volume of the constructed hyperbolic orbifolds
Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Group Theory (math.GR); Number Theory (math.NT)
[197]  arXiv:2301.01695 (cross-list from math.AG) [pdf, ps, other]
Title: Non-free sections of Fano fibrations
Authors: Brian Lehmann, Eric Riedl, Sho Tanimoto
Comments: A longer version, Sections 4 and 5 are new, 88 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[198]  arXiv:2301.01794 (cross-list from math.CA) [pdf, ps, other]
Title: Several classical identities via Mellin's transform
Authors: Khristo N. Boyadzhiev
Journal-ref: Mathematica Montisnigri 15(2022), 5-11
Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)
[199]  arXiv:2301.01800 (cross-list from math.AG) [pdf, ps, other]
Title: Arithmetic Properties Of $\ell$-adic Étale Cohomology and Nearby Cycles of Rigid-Analytic Spaces
Authors: David Hansen, Bogdan Zavyalov
Comments: Comments are very welcome
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[200]  arXiv:2301.01857 (cross-list from math.AG) [pdf, ps, other]
Title: Geometric G-functions and Atypicality
Authors: David Urbanik
Comments: v2: Updated and streamlined introduction, giving a clearer explanation of proof strategy and ideas. Significant updates to section 7.2, including a discussion on Hodge-theoretic Siegel sets, orbits of Siegel sets on Hodge-theoretic idempotents, and a height theorem for such orbits. The last of these replaces a mistaken Siegel-set argument in the previous version. Other smaller changes/fixes
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[201]  arXiv:2301.01985 (cross-list from math.CO) [pdf, ps, other]
Title: Power-Partible Reduction and Congruences
Authors: Rong-Hua Wang, Michael X. X. Zhong
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[202]  arXiv:2301.02114 (cross-list from math.CO) [pdf, ps, other]
Title: Critical groups of arithmetical structures on star graphs and complete graphs
Authors: Kassie Archer, Alexander Diaz-Lopez, Darren Glass, Joel Louwsma
Comments: 24 pages, 2 figures; v2: minor improvements to exposition
Journal-ref: Electron. J. Combin. 31 (2024) 1.5
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[203]  arXiv:2301.02203 (cross-list from math.CO) [pdf, ps, other]
Title: Divisibility of character values of the symmetric group by prime powers
Authors: Sarah Peluse, Kannan Soundararajan
Comments: In memory of Chanda Sekhar Raju. (17 pages)
Subjects: Combinatorics (math.CO); Number Theory (math.NT); Representation Theory (math.RT)
[204]  arXiv:2301.02411 (cross-list from math.AG) [pdf, ps, other]
Title: Some arithmetic and geometric aspects of algebraic cycles and motives
Authors: Giuseppe Ancona
Comments: Habilitation thesis, in French
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[205]  arXiv:2301.02629 (cross-list from math.AG) [pdf, ps, other]
Title: Intersection theory on non-archimedean analytic spaces
Authors: Yulin Cai
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[206]  arXiv:2301.04064 (cross-list from math.QA) [pdf, ps, other]
Title: The cyclotomic Grothendieck-Teichmüller group and the motivic Galois group
Authors: Minoru Hirose
Subjects: Quantum Algebra (math.QA); Number Theory (math.NT)
[207]  arXiv:2301.04459 (cross-list from math.DS) [pdf, other]
Title: Algebraic actions II. Groupoid rigidity
Authors: Chris Bruce, Xin Li
Comments: 25 pages
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT); Operator Algebras (math.OA)
[208]  arXiv:2301.04683 (cross-list from math.CO) [pdf, other]
Title: On Helly numbers of exponential lattices
Authors: Gergely Ambrus, Martin Balko, Nóra Frankl, Attila Jung, Márton Naszódi
Comments: 24 pages, 5 figures, minor changes
Subjects: Combinatorics (math.CO); Metric Geometry (math.MG); Number Theory (math.NT)
[209]  arXiv:2301.04759 (cross-list from math.CV) [pdf, ps, other]
Title: Difference equations and Omega functions
Authors: Ricardo Perez-Marco
Comments: Estimates simplified and corrected. References added. 20 pages
Subjects: Complex Variables (math.CV); Number Theory (math.NT)
[210]  arXiv:2301.04864 (cross-list from math.AG) [pdf, ps, other]
Title: Topological Structures of Moduli Spaces of Curves and Anabelian Geometry in Positive Characteristic
Authors: Zhi Hu, Yu Yang, Runhong Zong
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[211]  arXiv:2301.04964 (cross-list from math.RT) [pdf, ps, other]
Title: On gamma factors for representations of finite general linear groups
Authors: David Soudry, Elad Zelingher
Comments: 30 pages. Comments are welcome. v2: This version contains all changes that were made for submission in Essential Number Theory. Numbering has changed from v1
Journal-ref: Ess. Number Th. 2 (2023) 45-82
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[212]  arXiv:2301.05078 (cross-list from math.AG) [pdf, ps, other]
Title: Stratification des variétés de Hilbert en présence de ramification
Authors: Diego Berger
Comments: in French language
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[213]  arXiv:2301.05477 (cross-list from math.AG) [pdf, ps, other]
Title: A remark on a result of Huber and Kahn
Authors: Somayeh Habibi, Farhad Rahmati
Comments: 12 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[214]  arXiv:2301.05846 (cross-list from math.AG) [pdf, ps, other]
Title: A motivic construction of the de Rham-Witt complex
Authors: Junnosuke Koizumi, Hiroyasu Miyazaki
Comments: 31 pages, typos corrected, to appear in Journal of Pure and Applied Algebra
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[215]  arXiv:2301.05982 (cross-list from math.AG) [pdf, ps, other]
Title: Mixed mock modularity of special divisors
Authors: Philip Engel, François Greer, Salim Tayou
Comments: 37 pages, 0 figures
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[216]  arXiv:2301.06039 (cross-list from math.CO) [pdf, other]
Title: Nonperiodic tilings related to Stern's diatomic series and based on tiles decorated with elements of $\mathbb{F}_p$
Authors: Rémy Sigrist
Comments: 54 pages, 62 figures
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[217]  arXiv:2301.06212 (cross-list from math.CO) [pdf, ps, other]
Title: Lower bounds for multicolor van der Waerden numbers
Authors: Zach Hunter
Comments: 11 pages, comments welcome!
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[218]  arXiv:2301.07021 (cross-list from math.CO) [pdf, ps, other]
Title: Cliques of orders three and four in the Paley-type graphs
Authors: Anwita Bhowmik, Rupam Barman
Comments: 9 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[219]  arXiv:2301.07572 (cross-list from math.AG) [pdf, ps, other]
Title: A local-global principle for twisted flag varieties
Authors: Philippe Gille (ICJ), Raman Parimala
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[220]  arXiv:2301.08016 (cross-list from math.CO) [pdf, ps, other]
Title: A weighted extension of Fibonacci numbers
Authors: Gaurav Bhatnagar, Archna Kumari, Michael J. Schlosser
Comments: 14 pages, comments solicited
Subjects: Combinatorics (math.CO); Classical Analysis and ODEs (math.CA); Number Theory (math.NT)
[221]  arXiv:2301.08120 (cross-list from math.AG) [pdf, ps, other]
Title: Convex Bodies associated to Linear series of Adelic Divisors on Quasi-Projective Varieties
Authors: Debam Biswas
Comments: 22 pages, Comments are welcome
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[222]  arXiv:2301.08142 (cross-list from math.LO) [pdf, ps, other]
Title: Real analysis without uncountable sets
Authors: Martin Klazar
Comments: 52 pages - better style and notation and some cuts resulted in saving 12 pages
Subjects: Logic (math.LO); Classical Analysis and ODEs (math.CA); History and Overview (math.HO); Number Theory (math.NT)
[223]  arXiv:2301.08886 (cross-list from math.AG) [pdf, ps, other]
Title: Degrees of unitary Deligne-Lusztig varieties
Authors: Chao Li
Comments: 15 pages. To appear in Kudla 70 volume
Subjects: Algebraic Geometry (math.AG); Combinatorics (math.CO); Number Theory (math.NT)
[224]  arXiv:2301.09182 (cross-list from math.RT) [pdf, ps, other]
Title: A comparison of endomorphism algebras
Authors: Kazuma Ohara
Comments: 94pages
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[225]  arXiv:2301.09812 (cross-list from math.RT) [pdf, ps, other]
Title: Characterization of supercuspidal representations and very regular elements
Authors: Charlotte Chan, Masao Oi
Comments: 76 pages, some minor mistakes are fixed
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[226]  arXiv:2301.09929 (cross-list from math.AG) [pdf, other]
Title: $q$-bic forms
Authors: Raymond Cheng
Comments: Comments very welcome! v2: minor edits; v3: update references and introduction
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[227]  arXiv:2301.10302 (cross-list from math.AG) [pdf, ps, other]
Title: A database of basic numerical invariants of Hilbert modular surfaces
Authors: Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Juanita Duque-Rosero, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Sam Schiavone, John Voight
Comments: 27 pages, to appear in LuCaNT proceedings
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[228]  arXiv:2301.10671 (cross-list from math.DS) [pdf, other]
Title: Birkhoff generic points on curves in horospheres
Authors: Omri Nisan Solan, Andreas Wieser
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[229]  arXiv:2301.11103 (cross-list from math.GR) [pdf, ps, other]
Title: Galois cohomology and profinitely solitary Chevalley groups
Authors: Holger Kammeyer, Ryan Spitler
Comments: Significant additions. Settled question of profinite solitude for Chevalley groups up to open cases of CSP. 16 pages
Subjects: Group Theory (math.GR); Number Theory (math.NT)
[230]  arXiv:2301.11137 (cross-list from math.CO) [pdf, ps, other]
Title: Linked partition ideals and a family of quadruple summations
Authors: George E. Andrews, Shane Chern
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[231]  arXiv:2301.11306 (cross-list from math.CO) [pdf, ps, other]
Title: Spherical Configurations over Finite Fields
Authors: Neil Lyall, Akos Magyar, Hans Parshall
Journal-ref: Amer. J. Math. Volume 142, Number 2, April 2020, 373-404
Subjects: Combinatorics (math.CO); Classical Analysis and ODEs (math.CA); Number Theory (math.NT)
[232]  arXiv:2301.11319 (cross-list from math.CO) [pdf, ps, other]
Title: Weak hypergraph regularity and applications to geometric Ramsey theory
Authors: Neil Lyall, Akos Magyar
Journal-ref: Trans. Amer. Math. Soc. Ser. B 9 (2022), 160-207
Subjects: Combinatorics (math.CO); Classical Analysis and ODEs (math.CA); Number Theory (math.NT)
[233]  arXiv:2301.11352 (cross-list from math.CA) [pdf, ps, other]
Title: The Discrete Spherical Maximal Function: A new proof of $\ell^2$-boundedness
Authors: Neil Lyall, Akos Magyar, Alex Newman, Peter Woolfitt
Journal-ref: Proc. Amer. Math. Soc. 149 (2021), no.12, 5305-5312
Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)
[234]  arXiv:2301.11359 (cross-list from math.CA) [pdf, ps, other]
Title: Discrete multilinear maximal operators and pinned simplices
Authors: Neil Lyall, Akos Magyar, Alex Newman, Peter Woolfitt
Subjects: Classical Analysis and ODEs (math.CA); Combinatorics (math.CO); Number Theory (math.NT)
[235]  arXiv:2301.12182 (cross-list from math.MG) [pdf, other]
Title: Deep lattice points in zonotopes, lonely runners, and lonely rabbits
Authors: Matthias Beck, Matthias Schymura
Comments: 17 pages
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO); Number Theory (math.NT)
[236]  arXiv:2301.12392 (cross-list from math.AG) [pdf, ps, other]
Title: Prismatization over $\mathbf{Z}$
Authors: Lance Gurney
Comments: 28 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[237]  arXiv:2301.12484 (cross-list from math.CO) [pdf, ps, other]
Title: New partition identities for odd w odd
Authors: Mirko Primc
Comments: 7 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[238]  arXiv:2301.12560 (cross-list from math.AG) [pdf, ps, other]
Title: Elliptic KZB connections via universal vector extensions
Authors: Tiago J. Fonseca, Nils Matthes
Comments: New introduction. Comments still welcome
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[239]  arXiv:2301.12841 (cross-list from math.CO) [pdf, ps, other]
Title: Some results on similar configurations in subsets of $\mathbb{F}_q^d$
Authors: Chengfei Xie, Gennian Ge
Comments: 19 pages; any comments are welcome
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[240]  arXiv:2301.12878 (cross-list from math.CO) [pdf, other]
Title: Sidon sets in algebraic geometry
Authors: Arthur Forey, Javier Fresán, Emmanuel Kowalski
Comments: v3; 17 pages, 1 figure; minor correction concerning the relation between Sidon sets and symmetric Sidon sets
Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG); Number Theory (math.NT)
[241]  arXiv:2301.12897 (cross-list from math.AG) [pdf, ps, other]
Title: Supersingular curves of genus four in characteristic two
Authors: Dušan Dragutinović
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[242]  arXiv:2301.13092 (cross-list from math.RT) [pdf, ps, other]
Title: A Converse Theorem for Split $\mathrm{SO}_{2l}$ over Finite Fields
Authors: Alexander Hazeltine, Baiying Liu
Comments: To appear in Acta Mathematica Sinica, English Series
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[243]  arXiv:2301.13157 (cross-list from math.AG) [pdf, ps, other]
Title: Rank 2 $\ell$-adic local systems and Higgs bundles over a curve
Authors: Hongjie Yu
Comments: 54 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT); Representation Theory (math.RT)
[244]  arXiv:2301.13239 (cross-list from math.QA) [pdf, ps, other]
Title: Periodic Y-systems and Nahm sums: the rank 2 case
Authors: Yuma Mizuno
Comments: 17 pages
Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Number Theory (math.NT)
[245]  arXiv:2301.13582 (cross-list from math.AG) [pdf, ps, other]
Title: Classification of singular del Pezzo surfaces over finite fields
Authors: Régis Blache (LAMIA), Emmanuel Hallouin (IMT)
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[246]  arXiv:2301.13586 (cross-list from math.PR) [pdf, ps, other]
Title: Multivariate multiplicative functions of uniform random vectors in large integer domains
Authors: Zakhar Kabluchko, Oleksandr Marynych, Kilian Raschel
Comments: 21 pages
Subjects: Probability (math.PR); Number Theory (math.NT)
[247]  arXiv:2301.13719 (cross-list from math.GT) [pdf, ps, other]
Title: Finite sets containing zero are mapping degree sets
Authors: Cristina Costoya, Vicente Muñoz, Antonio Viruel
Comments: 22 pages, 1 figure, v4: An error in the previous versions has been fixed without altering the main results; references have been updated
Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT); Number Theory (math.NT)
[248]  arXiv:2301.13847 (cross-list from math.RT) [pdf, ps, other]
Title: On the local converse Theorem for split $\mathrm{SO}_{2l}$
Authors: Alexander Hazeltine, Baiying Liu
Comments: arXiv admin note: text overlap with arXiv:2301.13092
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[249]  arXiv:2301.01282 (cross-list from cs.CR) [pdf, ps, other]
Title: RSA+: An RSA variant
Authors: Soeren Kleine, Andreas Nickel, Torben Ritter, Krishnan Shankar
Comments: 11 pages, no figures; code on GitHub (this https URL)
Subjects: Cryptography and Security (cs.CR); Number Theory (math.NT)
[250]  arXiv:2301.11479 (cross-list from cs.AI) [pdf, other]
Title: Alien Coding
Authors: Thibault Gauthier, Miroslav Olšák, Josef Urban
Subjects: Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Logic in Computer Science (cs.LO); Neural and Evolutionary Computing (cs.NE); Number Theory (math.NT)
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