Asymptotic behaviors of means of central values of automorphic L-functions for GL(2)

被引：6

作者：

Sugiyama, Shingo ^{[1
]}

机构：

[1] Kyushu Univ, Inst Math Ind, Nishi Ku, Fukuoka 8190395, Japan

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 156卷

关键词：

Automorphic representations; Relative trace formulas; SUBCONVEXITY; SERIES; FORMS;

D O I：

10.1016/j.jnt.2015.04.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be the adele ring of a totally real algebraic number field F. We push forward an explicit computation of a relative trace formula for periods of automorphic forms along a split torus in GL(2) from a square-free level case done by Masao Tsuzuki [20], to an arbitrary level case. By using a relative trace formula, we study central values of automorphic L-functions for cuspidal automorphic representations of GL(2, A) corresponding to Maass forms with arbitrary level. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：195 / 246

页数：52

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