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.
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页码：849 / 866
页数：18
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