Additive twists and a conjecture by Mazur, Rubin and Stein

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

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: Dec 18, 2020
• 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.