A Standard Zero Free Region for Rankin-Selberg L-Functions

被引：11

作者：

Goldfeld, Dorian ^{[1
]}

Li, Xiaoqing ^{[2
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

[2] SUNY Buffalo, Dept Math, 244 Math Bldg, Buffalo, NY 14260 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2018年 / 2018卷 / 22期

关键词：

MULTIPLICITY ONE; GL(N); PROOF;

D O I：

10.1093/imrn/rnx087

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A standard zero free region is obtained for Rankin-Selberg L-functions L(s, f x (f) over tilde), where f is an almost everywhere tempered Maass form on GL(n) and f is not necessarily self dual. The method is based on the theory of Eisenstein series generalizing a work of Sarnak.

引用

页码：7067 / 7136

页数：70

共 29 条

[1]

[Anonymous], 1996, COURSE MODERN ANAL

[2]

ARTHUR J, 1980, COMPOS MATH, V40, P87

[3]

Bombieri E., 1969, LARGE SIEVE METHOD N, P9, DOI [10.1007/978-1-4615-4819-5_1, DOI 10.1007/978-1-4615-4819-5_1]

[4] Effective multiplicity one on GLN and narrow zero-free regions for Rankin-Selberg L-functions [J].