The twisted second moment of L-functions associated to Hecke-Maass forms

被引：1

作者：

Liu, Sheng-Chi ^{[1
]}

Streipel, Jakob ^{[2
]}

机构：

[1] Washington State Univ, Dept Math & Stat, Pullman, WA 99164 USA

[2] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2024年 / 20卷 / 03期

关键词：

Moments of L-functions; zeros of L-functions; Hecke-Maass forms; CENTRAL L-VALUES; ZEROS;

D O I：

10.1142/S1793042124500441

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish an asymptotic formula for the twisted second moment of L-functions associated to Hecke-Maass forms, which can be used to deduce a zero-density estimate for these L-functions in the spectral aspect.

引用

页码：849 / 866

页数：18

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