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)