Number Theory

Authors and titles for math.NT in Apr 2024

[1]  arXiv:2404.00389 [pdf, ps, other]

Title: On the rank of the multivariable $(\varphi,\mathcal{O}_K^{\times})$-modules associated to mod $p$ representations of $\operatorname{GL}_2(K)$

Authors: Yitong Wang

Comments: 62 pages, 3 appendices

Subjects: Number Theory (math.NT)

[2]  arXiv:2404.00396 [pdf, ps, other]

Title: Lubin-Tate and multivariable $(\varphi,\mathcal{O}_K^{\times})$-modules in dimension 2

Authors: Yitong Wang

Comments: 43 pages

Subjects: Number Theory (math.NT)

[3]  arXiv:2404.00518 [pdf, ps, other]

Title: Least zero of a cubic form

Authors: Yixiu Xiao, Hongze Li

Comments: 24 pages, comments welcome

Subjects: Number Theory (math.NT)

[4]  arXiv:2404.00541 [pdf, ps, other]

Title: Exponential sums over singular binary quartic forms and applications

Authors: Yasuhiro Ishitsuka, Takashi Taniguchi, Frank Thorne, Stanley Yao Xiao

Subjects: Number Theory (math.NT)

[5]  arXiv:2404.00561 [pdf, ps, other]

Title: Epsilon dichotomy for twisted linear models

Authors: Hang Xue, Pan Yan

Comments: 38 pages

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

[6]  arXiv:2404.00624 [pdf, other]

Title: On The Friendly Number Of 10

Authors: Sagar Mandal, Sourav Mandal

Subjects: Number Theory (math.NT)

[7]  arXiv:2404.00711 [pdf, other]

Title: The Explicit Hypergeometric-Modularity Method

Authors: Michael Allen, Brian Grove, Ling Long, Fang-Ting Tu

Subjects: Number Theory (math.NT)

[8]  arXiv:2404.00738 [pdf, ps, other]

Title: The Rational Torsion Subgroup of $J_0(\mathfrak{p}^r)$

Authors: Sheng-Yang Kevin Ho

Comments: 21 pages, comments welcome

Subjects: Number Theory (math.NT)

[9]  arXiv:2404.00927 [pdf, ps, other]

Title: Construction of Permutation Polynomials over Finite Fields with the help of SCR polynomials

Authors: Bidushi Sharma, Dhiren Kumar Basnet

Comments: 17 pages

Subjects: Number Theory (math.NT)

[10]  arXiv:2404.00932 [pdf, ps, other]

Title: Minimal resolutions of Iwasawa modules

Authors: Takenori Kataoka, Masato Kurihara

Comments: 23 pages

Subjects: Number Theory (math.NT)

[11]  arXiv:2404.00955 [pdf, ps, other]

Title: On the number of points with bounded dynamical canonical height

Authors: Kohei Takehira

Comments: 14 pages

Subjects: Number Theory (math.NT)

[12]  arXiv:2404.01003 [pdf, other]

Title: On the Brun--Titchmarsh theorem

Authors: Ping Xi, Junren Zheng

Comments: Bounded by 50 pages. All comments are welcome!

Subjects: Number Theory (math.NT)

[13]  arXiv:2404.01042 [pdf, ps, other]

Title: Multiplicative Hecke operators and their applications

Authors: Gyucheol Shin, Chang Heon Kim

Comments: 22 pages

Subjects: Number Theory (math.NT)

[14]  arXiv:2404.01045 [pdf, ps, other]

Title: On the distribution of $αp^2+β$ modulo one for primes $p$ such that $p+2$ has no more two prime divisors

Authors: T.L.Todorova

Subjects: Number Theory (math.NT)

[15]  arXiv:2404.01047 [pdf, other]

Title: On the distribution of $αp+β$ modulo one for primes of type $p=ar^2+1$

Authors: T. Todorova

Subjects: Number Theory (math.NT)

[16]  arXiv:2404.01069 [pdf, ps, other]

Title: Distribution of sums of square roots modulo $1$

Authors: Siddharth Iyer

Comments: 12 pages

Subjects: Number Theory (math.NT)

[17]  arXiv:2404.01075 [pdf, ps, other]

Title: Drinfeld singular moduli, hyperbolas, units

Authors: Bruno Anglès, Cécile Armana, Vincent Bosser, Fabien Pazuki

Subjects: Number Theory (math.NT)

[18]  arXiv:2404.01362 [pdf, ps, other]

Title: Norm one tori and Hasse norm principle, III: Degree $16$ case

Authors: Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki

Comments: 74 pages. arXiv admin note: text overlap with arXiv:2210.09119

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

[19]  arXiv:2404.01414 [pdf, other]

Title: A Local-Global Study of Obstructed Deformation Problems -- I

Authors: Bartu Bingol

Subjects: Number Theory (math.NT)

[20]  arXiv:2404.01449 [pdf, ps, other]

Title: Converse theorems for Hilbert modular forms of higher level

Authors: Pengcheng Zhang

Comments: 25 pages

Subjects: Number Theory (math.NT)

[21]  arXiv:2404.01483 [pdf, ps, other]

Title: Creating Decidable Diophantine Equations

Authors: Robert Dougherty-Bliss, Charles Kenney, Doron Zeilberger

Comments: This version cites the interesting work of Maxim Vsemirnov, that we were made aware of thanks to Yuri Matiyasevich

Subjects: Number Theory (math.NT)

[22]  arXiv:2404.01508 [pdf, ps, other]

Title: A Complete Congruence System for the Erdos-Straus Conjecture

Authors: Miguel Angel Lopez

Comments: 19 pages

Subjects: Number Theory (math.NT)

[23]  arXiv:2404.01538 [pdf, ps, other]

Title: An Infinite Family of Real Quadratic Fields with Three Classes of Perfect Unary Forms

Authors: Christian Porter

Comments: 7 pages

Subjects: Number Theory (math.NT)

[24]  arXiv:2404.01678 [pdf, other]

Title: Motivic interpretations for iterated integrals on some specific algebraic curves

Authors: Eisuke Otsuka

Comments: 26 pages

Subjects: Number Theory (math.NT)

[25]  arXiv:2404.01835 [pdf, ps, other]

Title: Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes

Authors: Antonio Lei

Subjects: Number Theory (math.NT)