Number Theory

Authors and titles for math.NT in May 2020

[1]  arXiv:2005.00125 [pdf, ps, other]

Title: Higher convexity and iterated sum sets

Authors: Brandon Hanson, Oliver Roche-Newton, Misha Rudnev

Subjects: Number Theory (math.NT)

[2]  arXiv:2005.00150 [pdf, ps, other]

Title: Subrings of $\mathbb Z[t]/(t^4)$

Authors: Sarthak Chimni, Ramin Takloo-Bighash

Comments: 23 pages, several typos corrected, new reference added, acknowledgements updated

Subjects: Number Theory (math.NT)

[3]  arXiv:2005.00194 [pdf, ps, other]

Title: Bounds for 2-Selmer ranks in terms of seminarrow class groups

Authors: Hwajong Yoo, Myungjun Yu

Comments: To appear in Pacific Journal of Mathematics

Subjects: Number Theory (math.NT)

[4]  arXiv:2005.00380 [pdf, ps, other]

Title: A Lochs-Type Approach via Entropy in Comparing the Efficiency of Different Continued Fraction Algorithms

Authors: Dan Lascu, Gabriela Ileana Sebe

Comments: 16 pages

Subjects: Number Theory (math.NT)

[5]  arXiv:2005.00679 [pdf, ps, other]

Title: Algebraic Groups Constructed From Rings with Involution

Authors: Arseniy Sheydvasser

Comments: This is essentially a re-draft of arXiv:1908.01250. However, as there have been significant changes (including the title), it made sense to resubmit as a separate document

Subjects: Number Theory (math.NT)

[6]  arXiv:2005.00896 [pdf, other]

Title: A $p$-adic $L$-function with canonical motivic periods for Hida families

Authors: Michael Fütterer

Subjects: Number Theory (math.NT)

[7]  arXiv:2005.00911 [pdf, ps, other]

Title: A note on additive characters of finite fields

Authors: Lucas Reis

Subjects: Number Theory (math.NT)

[8]  arXiv:2005.00941 [pdf, ps, other]

Title: Combinations of $L$-functions and Their Non-coincident Zeros for $σ>1$

Authors: Scott Kirila

Comments: 6 pages

Journal-ref: Journal of Number Theory Volume 219, February 2021, Pages 162-171

Subjects: Number Theory (math.NT)

[9]  arXiv:2005.01062 [pdf, ps, other]

Title: Eisenstein cohomology for orthogonal groups and the special values of $L$-functions for ${\rm GL}_1 \times {\rm O}(2n)$

Authors: Chandrasheel Bhagwat, A. Raghuram

Comments: 57 pages, some modifications made to previous version

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

[10]  arXiv:2005.01067 [pdf, ps, other]

Title: Some formulae for coefficients in restricted $q$-products

Authors: Ankush Goswami, Venkata Raghu Tej Pantangi

Comments: This is the revised version of arXiv:2005.01067 accepted for publication in J. Number Theory. arXiv admin note: text overlap with arXiv:2004.08954

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

[11]  arXiv:2005.01078 [pdf, ps, other]

Title: Residue classes free of values of Euler's function

Authors: Kevin Ford, Sergei Konyagin, Carl Pomerance

Comments: Published in 1999, for Andrzej Schinzel's 60-th birthday. v2 - corrects a processing error that cut off the bottom of every page

Journal-ref: In the book Number Theory in Progress (Zakopane, Poland 1997; K\'alm\'an Gy\"ory, Henryk Iwaniec, Jerzy Urbanowicz, eds), de Gruyter (1999), 805-812

Subjects: Number Theory (math.NT)

[12]  arXiv:2005.01145 [pdf, ps, other]

Title: Improved bound in Roth's theorem on arithmetic progressions

Authors: Tomasz Schoen

Subjects: Number Theory (math.NT)

[13]  arXiv:2005.01211 [src]

Title: A transcendence result on elliptic functions using functions of two variables

Authors: Yukitaka Abe

Comments: Proposition1 was incorrect

Subjects: Number Theory (math.NT)

[14]  arXiv:2005.01212 [pdf, ps, other]

Title: Local constancy for reductions of two-dimensional crystalline representations

Authors: Emiliano Torti

Comments: Comments are welcome!

Subjects: Number Theory (math.NT)

[15]  arXiv:2005.01216 [pdf, ps, other]

Title: On existence of primitive normal elements of rational form over finite fields of even characteristic

Authors: Himangshu Hazarika, Dhiren Kumar Basnet, Giorgos Kapetanakis

Comments: 24 pages. arXiv admin note: text overlap with arXiv:2001.06977

Subjects: Number Theory (math.NT)

[16]  arXiv:2005.01272 [pdf, ps, other]

Title: Variations of Andrews-Beck type congruences

Authors: Song Heng Chan, Renrong Mao, Robert Osburn

Comments: 15 pages, typos corrected, to appear in the Journal of Mathematical Analysis and Applications

Journal-ref: Journal of Mathematical Analysis and Applications 495 (2021), no. 2, 124771

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

[17]  arXiv:2005.01300 [pdf, ps, other]

Title: On the discriminant of pure number fields

Authors: Anuj Jakhar, Sudesh K. Khanduja, Neeraj Sangwan

Subjects: Number Theory (math.NT)

[18]  arXiv:2005.01490 [pdf, ps, other]

Title: On the triple correlations of fractional parts of $n^2α$

Authors: Niclas Technau, Aled Walker

Comments: Final version. To appear in Canadian Journal of Mathematics

Subjects: Number Theory (math.NT)

[19]  arXiv:2005.01523 [pdf, ps, other]

Title: A matrix version of Dwork's congruences

Authors: Frits Beukers

Comments: 10 pages

Subjects: Number Theory (math.NT)

[20]  arXiv:2005.01537 [pdf, ps, other]

Title: Simultaneous supersingular reductions of CM elliptic curves

Authors: Menny Aka, Manuel Luethi, Philippe Michel, Andreas Wieser

Comments: 46 pages. Revised according to the referee's comments

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

[21]  arXiv:2005.01907 [pdf, ps, other]

Title: First Moments of Some Hecke $L$-functions of Prime Moduli

Authors: Peng Gao, Liangyi Zhao

Comments: 11 pages

Journal-ref: Funct. Approx. Comment. Math., Vol. 66, 2022, No. 2, pp. 161--178

Subjects: Number Theory (math.NT)

[22]  arXiv:2005.01915 [pdf, ps, other]

Title: On integral basis of pure number fields

Authors: Anuj Jakhar, Sudesh K. Khanduja, Neeraj Sangwan

Subjects: Number Theory (math.NT)

[23]  arXiv:2005.01919 [pdf, ps, other]

Title: Quasimodularity of the $k$th Residual Cranks

Authors: Thomas Morrill, Aleksander Simonič

Subjects: Number Theory (math.NT)

[24]  arXiv:2005.01940 [pdf, ps, other]

Title: Zsigmondy's theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings

Authors: Min Sha

Comments: 14 pages

Subjects: Number Theory (math.NT)

[25]  arXiv:2005.02017 [pdf, ps, other]

Title: Zeta functions and nonvanishing theorems for toric periods on $\mathrm{GL}_2$

Authors: Miyu Suzuki, Satoshi Wakatsuki

Subjects: Number Theory (math.NT)