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.
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页码：565 / 591
页数：27
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