Number Theory

Authors and titles for math.NT in Feb 2024

[1]  arXiv:2402.00057 [pdf, ps, other]

Title: On the restricted $k$-multipartition function

Authors: Mircea Cimpoeas, Alexandra Teodor

Comments: 10 pages

Journal-ref: U.P.B. Sci. Bull., Series A, Vol. 85, Iss. 3, 2023, pag. 11-18

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[2]  arXiv:2402.00165 [pdf, ps, other]

Title: The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums

Authors: Kim Klinger-Logan, Tian An Wong

Comments: 14 pages

Journal-ref: Research in Number Theory 2024

Subjects: Number Theory (math.NT)

[3]  arXiv:2402.00169 [pdf, ps, other]

Title: Algorithms for $p$-adic Heights on Hyperelliptic Curves of Arbitrary Reduction

Authors: Francesca Bianchi, Enis Kaya, J. Steffen Müller

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[4]  arXiv:2402.00180 [pdf, ps, other]

Title: Geometric Langlands duality for periods

Authors: Tony Feng, Jonathan Wang

Comments: minor revisions

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)

[5]  arXiv:2402.00196 [pdf, ps, other]

Title: Badly approximable grids and k-divergent lattices

Authors: Nikolay Moshchevitin, Anurag Rao, Uri Shapira

Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)

[6]  arXiv:2402.00294 [pdf, ps, other]

Title: Explicit arithmetic Eisenstein cocycles: the toric case

Authors: Peter Xu

Comments: revision: remove bloch complex material in order to condense paper, as the bloch complex isn't strictly necessary for the main construction, update some context/future work stuff

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[7]  arXiv:2402.00513 [pdf, ps, other]

Title: A unified approach to mass transference principle and large intersection property

Authors: Yubin He

Subjects: Number Theory (math.NT); Metric Geometry (math.MG)

[8]  arXiv:2402.00545 [pdf, ps, other]

Title: Distributive properties of division points and discriminants of Drinfeld modules

Authors: Ernst-Ulrich Gekeler

Comments: 32 pages, comments welcome

Subjects: Number Theory (math.NT)

[9]  arXiv:2402.00739 [pdf, ps, other]

Title: p-adically convergent loci in varieties arising from periodic continued fractions

Authors: Laura Capuano, Marzio Mula, Lea Terracini, Francesco Veneziano

Comments: 19 pages, comments are welcome!

Subjects: Number Theory (math.NT)

[10]  arXiv:2402.00748 [pdf, ps, other]

Title: Small gaps between almost-twin primes

Authors: Bin Chen

Comments: 20 pages

Subjects: Number Theory (math.NT)

[11]  arXiv:2402.00757 [pdf, ps, other]

Title: Relative Lie algebra cohomology of SU(2,1) and Eisenstein classes on Picard surfaces

Authors: Jitendra Bajpai, Mattia Cavicchi

Comments: 25 pages, comments welcome

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)

[12]  arXiv:2402.01189 [pdf, ps, other]

Title: On Malle's conjecture for the product of symmetric and nilpotent groups

Authors: Hrishabh Mishra, Anwesh Ray

Comments: Version 2: Results improved, the strong form of Malle's conjecture is now proven in our context

Subjects: Number Theory (math.NT); Group Theory (math.GR)

[13]  arXiv:2402.01214 [pdf, other]

Title: Notes on zeta ratio stabilization

Authors: Victor Y. Wang

Comments: 24 pages; improved Axiom B and discussion related to it; other minor changes; quadratic results unchanged

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[14]  arXiv:2402.01367 [pdf, ps, other]

Title: Periodicity and pure periodicity in alternate base systems

Authors: Zuzana Masáková, Edita Pelantová

Subjects: Number Theory (math.NT)

[15]  arXiv:2402.01455 [pdf, ps, other]

Title: Self-Correlations of Hurwitz Class Numbers

Authors: Alexander Walker

Comments: 41 pages, 0 figures

Subjects: Number Theory (math.NT)

[16]  arXiv:2402.01471 [pdf, ps, other]

Title: Restricted sumsets in $\mathbb{Z}

Authors: Yujie Wang, Min Tang

Comments: 34 pages

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[17]  arXiv:2402.01478 [pdf, other]

Title: On the Hilbert depth of quadratic and cubic functions

Authors: Mircea Cimpoeas, Silviu Balanescu

Comments: 10 pages, 1 figure; we replaced the expression quasi depth with the more appropriate one, Hilbert depth

Subjects: Number Theory (math.NT)

[18]  arXiv:2402.01497 [pdf, ps, other]

Title: The fourth moment of quadratic Dirichlet $L$-Functions II

Authors: Quanli Shen, Joshua Stucky

Subjects: Number Theory (math.NT)

[19]  arXiv:2402.01504 [pdf, ps, other]

Title: Derived smooth induction with applications

Authors: Peter Schneider, Claus Sorensen

Comments: 24 pages

Subjects: Number Theory (math.NT); Representation Theory (math.RT)

[20]  arXiv:2402.02024 [pdf, ps, other]

Title: An analogue of Kida's formula for elliptic curves with additive reduction

Authors: Anwesh Ray, Pratiksha Shingavekar

Comments: Version 1: 25 pages

Subjects: Number Theory (math.NT)

[21]  arXiv:2402.02038 [pdf, ps, other]

Title: Computing Isogenies at Singular Points of the Modular Polynomial

Authors: William E. Mahaney, Travis Morrison

Subjects: Number Theory (math.NT)

[22]  arXiv:2402.02271 [pdf, ps, other]

Title: Computing Euler factors of genus 2 curves at odd primes of almost good reduction

Authors: Céline Maistret, Andrew Sutherland

Comments: 18 pages, 5 tables

Subjects: Number Theory (math.NT)

[23]  arXiv:2402.02324 [pdf, ps, other]

Title: Some factorization results for bivariate polynomials

Authors: Nicolae Ciprian Bonciocat, Rishu Garg, Jitender Singh

Comments: 14 pages

Subjects: Number Theory (math.NT); Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[24]  arXiv:2402.02480 [pdf, ps, other]

Title: Linear Equations in Primes over $\mathbb{F}_p[x]$

Authors: Tal Meilin

Comments: 30 pages

Subjects: Number Theory (math.NT)

[25]  arXiv:2402.02492 [pdf, ps, other]

Title: Cohomology of $(\varphi, τ)$-modules

Authors: Hui Gao, Luming Zhao

Comments: v2: very minor revisions. 30page. comments welcome!

Subjects: Number Theory (math.NT)