Bounds for the spectral mean value of central values of L-functions

被引：2

作者：

Lu, Qing ^{[1
]}

机构：

[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

来源：

JOURNAL OF NUMBER THEORY | 2012年 / 132卷 / 05期

关键词：

Central value of L-functions; Subconvexity bound; Rankin-Selberg; Kuznetsov trace formula; Voronoi formula; AUTOMORPHIC L-FUNCTIONS; SELBERG L-FUNCTIONS; HEEGNER POINTS; POSITIVITY; GL(3); GL(2);

D O I：

10.1016/j.jnt.2011.12.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new proof of the known subconvexity bound of spectral mean values of some GL(2) L-functions at s = 1/2 coming from the Rankin-Selberg L-functions of a GL(3) Eisenstein series and a GL(2) or Gamma(0)(q) Maass form, as well as a new result in the twisted case. This is inspired by X. Li's result on The bounds for GL(3) x GL(2) L-functions of Hecke-Maass forms. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1016 / 1037

页数：22

共 29 条

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Apostol T., 1976, UNDERGRADUATE TEXTS

[2] The cubic moment of central values of automorphic L-functions [J].