Shifted convolutions and a conjecture by Mazur, Rubin and Stein

Nikolaos Diamantis; Jeffrey Hoffstein; Mehmet Kıral; Min Lee

Shifted convolutions and a conjecture by Mazur, Rubin and Stein

Number Theory 2019-07-30 v4

Authors: Nikolaos Diamantis , Jeffrey Hoffstein , Mehmet Kıral , Min Lee

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Abstract

In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved.

Keywords

shifted convolutions modular symbols Mazur-Rubin-Stein conjecture number theory

Cite

@article{arxiv.1807.02506,
  title  = {Shifted convolutions and a conjecture by Mazur, Rubin and Stein},
  author = {Nikolaos Diamantis and Jeffrey Hoffstein and Mehmet Kıral and Min Lee},
  journal= {arXiv preprint arXiv:1807.02506},
  year   = {2019}
}