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Additive twists and a conjecture by Mazur, Rubin and Stein

Diamantis, Nikolaos; Hoffstein, Jeffrey; Kıral, Mehmet; Lee, Min

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Authors

Jeffrey Hoffstein

Mehmet Kıral

Min Lee



Abstract

In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved. To cover levels that are important for elliptic curves, namely those that are not square-free, we establish results about L-functions with additive twists that are of independent interest.

Citation

Diamantis, N., Hoffstein, J., Kıral, M., & Lee, M. (2020). Additive twists and a conjecture by Mazur, Rubin and Stein. Journal of Number Theory, 209, 1-36. https://doi.org/10.1016/j.jnt.2019.11.016

Journal Article Type Article
Acceptance Date Nov 28, 2019
Online Publication Date Dec 17, 2019
Publication Date 2020-04
Deposit Date Dec 5, 2019
Publicly Available Date Mar 29, 2024
Journal Journal of Number Theory
Print ISSN 0022-314X
Electronic ISSN 1096-1658
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 209
Pages 1-36
DOI https://doi.org/10.1016/j.jnt.2019.11.016
Keywords Number Theory;
Public URL https://nottingham-repository.worktribe.com/output/2463701
Publisher URL https://www.sciencedirect.com/science/article/pii/S0022314X19304160
Additional Information This article is maintained by: Elsevier; Article Title: Additive twists and a conjecture by Mazur, Rubin and Stein; Journal Title: Journal of Number Theory; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.jnt.2019.11.016; Content Type: article; Copyright: © 2019 Elsevier Inc. All rights reserved.

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