A mean value of a triple product of L-functions

被引：7

作者：

Buttcane, Jack ^{[1
]}

Khan, Rizwanur ^{[2
]}

机构：

[1] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA

[2] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar

来源：

MATHEMATISCHE ZEITSCHRIFT | 2017年 / 285卷 / 1-2期

基金：

欧洲研究理事会;

关键词：

L-Functions; Automorphic forms; L-4-Norm; Quantum chaos; MODULAR L-FUNCTIONS; SUBCONVEXITY PROBLEM; FORMS; GL(2);

D O I：

10.1007/s00209-016-1721-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Luo has proven an optimal upper bound for the -norm of dihedral Maass forms of large eigenvalue, by bounding a mean value of triple product L-functions. Motivated by this result, we study a mean value of L-functions having similar shape, and obtain for it an asymptotic with power savings. Our work may be helpful in eventually obtaining an asymptotic for the L-4-norm.

引用

页码：565 / 591

页数：27

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