Additive twists and a conjecture by Mazur, Rubin and Stein
Additive twists and a conjecture by Mazur, Rubin and Stein
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DOI：
10.1016/j.jnt.2019.11.016
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发表时间：
2020-04
影响因子：
0.7
通讯作者：
N. Diamantis;J. Hoffstein;E. M. Kıral;Min Ho Lee
中科院分区：
文献类型：
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作者：
N. Diamantis;J. Hoffstein;E. M. Kıral;Min Ho Lee
本文证明了Mazur、Rubin和Stein关于模符号的某些平均值的一个猜想。为了涵盖对椭圆曲线很重要的水平，即那些不是无平方曲线的水平，我们建立了关于具有独立兴趣的附加扭曲的函数的结果。
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 aboutL-functions with additive twists that are of independent interest.