Moments of quadratic twists of modular $L$ -functions

IF 2.6 1区数学 Q1 MATHEMATICS

Inventiones mathematicae Pub Date : 2024-05-31 DOI:10.1007/s00222-024-01265-1

Xiannan Li

引用次数: 0

Abstract

We prove an asymptotic for the second moment of quadratic twists of a modular $L$-function. This was previously known conditionally on GRH by the work of Soundararajan and Young (J. Eur. Math. Soc. 12(5):1097–1116, 2010).

查看原文本刊更多论文

模态 $L$ 函数的二次扭曲力矩

我们证明了模态 $L$-函数二次扭曲第二矩的渐近性。这在之前由 Soundararajan 和 Young 的工作（J. Eur. Math.Math.12(5):1097-1116, 2010）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Inventiones mathematicae 数学-数学

CiteScore

5.60

自引率

3.20%

发文量

审稿时长

12 months

期刊介绍： This journal is published at frequent intervals to bring out new contributions to mathematics. It is a policy of the journal to publish papers within four months of acceptance. Once a paper is accepted it goes immediately into production and no changes can be made by the author(s).