Number Theory

Authors and titles for math.NT in Mar 2024

[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: 9 pages, in French. v2 corrects a typo in the abstract (sigh...), modifies parts of the introduction and adds references

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)