Non-vanishing of Maass form symmetric square L-functions

被引：1

作者：

Balkanova, Olga ^{[1
]}

Frolenkov, Dmitry ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, 8 Gubkina St, Moscow 119991, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 500卷 / 02期

关键词：

L-functions; Non-vanishing; Gauss hypergeometric function; MOMENT;

D O I：

10.1016/j.jmaa.2021.125148

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove asymptotic formulas for the twisted first and second moments of Maass form symmetric square L-functions at the central point. As an application, we establish effective lower bounds on the proportion of non-zero central L-values in short intervals. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：23