Number Theory

Authors and titles for recent submissions

• Thu, 21 May 2020
• Wed, 20 May 2020
• Tue, 19 May 2020
• Mon, 18 May 2020
• Fri, 15 May 2020

Thu, 21 May 2020

[1]  arXiv:2005.10188 [pdf, ps, other]

Title: A Density of Ramified Primes

Authors: Stephanie Chan, Christine McMeekin, Djordjo Milovic

Subjects: Number Theory (math.NT)

[2]  arXiv:2005.10185 [pdf, ps, other]

Title: Ordinary primes for some varieties with extra endomorphisms

Authors: Francesc Fité

Comments: 13 pages

Subjects: Number Theory (math.NT)

[3]  arXiv:2005.10046 [pdf, other]

Title: A fast algorithm to compute the Ramanujan-Deninger gamma-function and some number-theoretic applications

Authors: Alessandro Languasco, Luca Righi

Subjects: Number Theory (math.NT)

[4]  arXiv:2005.09970 [pdf, ps, other]

Title: Shafarevich-Tate groups of abelian varieties

Authors: Igor Nikolaev

Comments: 10 pages

Subjects: Number Theory (math.NT); Operator Algebras (math.OA)

[5]  arXiv:2005.09949 [pdf, ps, other]

Title: The Petersson/Kuznetsov trace formula with prescribed local ramifications

Authors: Yueke Hu

Subjects: Number Theory (math.NT)

[6]  arXiv:2005.09933 [pdf, ps, other]

Title: Extreme and periodic $L_2$ discrepancy of plane point sets

Authors: Aicke Hinrichs, Ralph Kritzinger, Friedrich Pillichshammer

Subjects: Number Theory (math.NT)

[7]  arXiv:2005.09926 [pdf, ps, other]

Title: On the $2$-adic logarithm of units of certain totally imaginary quartic fields

Authors: Jianing Li

Comments: 5 pages

Subjects: Number Theory (math.NT)

[8]  arXiv:2005.09893 [pdf, ps, other]

Title: Asymmetric estimates and the sum-product problems

Authors: Boqing Xue

Subjects: Number Theory (math.NT)

[9]  arXiv:2005.09852 [pdf, ps, other]

Title: On a basis for Euler-Zagier double zeta functions with non-positive components

Authors: Hideki Murahara, Takashi Nakamura

Comments: 13 pages

Subjects: Number Theory (math.NT)

[10]  arXiv:2005.09770 [pdf, ps, other]

Title: Solubility of Additive Sextic Forms over $\mathbb{Q}_2(\sqrt{-1})$ and $\mathbb{Q}_2(\sqrt{-5})$

Authors: Drew Duncan, David Leep

Subjects: Number Theory (math.NT)

[11]  arXiv:2005.09710 [pdf, other]

Title: Sum of Three Cubes via Optimisation

Authors: Boian Lazov, Tsvetan Vetsov

Comments: 21 pages without the appendices. Any comments will be greatly appreciated!

Subjects: Number Theory (math.NT); Optimization and Control (math.OC); Computation (stat.CO)

[12]  arXiv:2005.09693 [pdf, other]

Title: Singularities and vanishing cycles in number theory over function fields

Authors: Will Sawin

Comments: 33 pages

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

[13]  arXiv:2005.10231 (cross-list from math.AG) [pdf, ps, other]

Title: A Topology on Points on Stacks

Authors: Atticus Christensen

Comments: 31 pages

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

[14]  arXiv:2005.10170 (cross-list from math.RT) [pdf, ps, other]

Title: Representation of ax+b group and Dirichlet Series

Authors: Hongyu He

Comments: 14 pages, 0 figure

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

[15]  arXiv:2005.09799 (cross-list from math.AG) [pdf, ps, other]

Title: Dimension formula of the affine Deligne-Lusztig variety $X(μ, b)$

Authors: Xuhua He, Qingchao Yu

Comments: 15 pages

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

[16]  arXiv:2005.09779 (cross-list from math.CA) [pdf, ps, other]

Title: The solutions to the Wintner-Beurling problem in the class of step functions

Authors: Hui Dan, Kunyu Guo

Comments: 58 pages

Subjects: Classical Analysis and ODEs (math.CA); Complex Variables (math.CV); Number Theory (math.NT)

[17]  arXiv:2005.09690 (cross-list from math.AG) [pdf, ps, other]

Title: Invariance of the fundamental group under base change between algebraically closed fields

Authors: Aaron Landesman

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

Wed, 20 May 2020 (showing first 8 of 17 entries)

[18]  arXiv:2005.09590 [pdf, ps, other]

Title: $α$, $β$-expansions of the Riordan matrices of the associated subgroup

Authors: E. Burlachenko

Subjects: Number Theory (math.NT)

[19]  arXiv:2005.09543 [pdf, ps, other]

Title: On a basic mean value Theorem with explicit exponents

Authors: Matteo Ferrari

Comments: 13 pages

Subjects: Number Theory (math.NT)

[20]  arXiv:2005.09491 [pdf, ps, other]

Title: Sorting and labelling integral ideals in a number field

Authors: John Cremona, Aurel Page, Andrew V. Sutherland

Subjects: Number Theory (math.NT)

[21]  arXiv:2005.09402 [pdf, ps, other]

Title: The number of irreducible polynomials over finite fields with vanishing trace and reciprocal trace

Authors: Yağmur Çakıroğlu, Oğuz Yayla, Emrah Sercan Yılmaz

Comments: 12 pages. Comments are welcome

Subjects: Number Theory (math.NT); Cryptography and Security (cs.CR); Information Theory (cs.IT)

[22]  arXiv:2005.09307 [pdf, ps, other]

Title: On numbers satisfying Robin's inequality, properties of the next counterexample and improved specific bounds

Authors: Robert Vojak (CEREMADE)

Subjects: Number Theory (math.NT)

[23]  arXiv:2005.09300 [pdf, other]

Title: Dyadic Approximation in the Middle-Third Cantor Set

Authors: Demi Allen, Sam Chow, Han Yu

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

[24]  arXiv:2005.09263 [pdf, ps, other]

Title: A Partition Function Connected with the Göllnitz--Gordon Identities

Authors: Nicolas Allen Smoot

Journal-ref: Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) Springer International, 2017, pp. 373-400

Subjects: Number Theory (math.NT)

[25]  arXiv:2005.09201 [pdf, ps, other]

Title: On a subset sums problem of Chen and Wu

Authors: Min Tang, Hongwei Xu

Subjects: Number Theory (math.NT)

• Thu, 21 May 2020
• Wed, 20 May 2020
• Tue, 19 May 2020
• Mon, 18 May 2020
• Fri, 15 May 2020