Prime number theorems for Rankin-Selberg L-functions over number fields

被引：41

作者：

Gillespie, Tim ^{[2
]}

Ji GuangHua ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

SCIENCE CHINA-MATHEMATICS | 2011年 / 54卷 / 01期

关键词：

Rankin-Selberg L-functions; prime number theorem; base change; PLANCHEREL MEASURES; EULER PRODUCTS; CLASSIFICATION; CONJECTURE;

D O I：

10.1007/s11425-010-4137-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we define a Rankin-Selberg L-function attached to automorphic cuspidal representations of GL(m)(A(E)) x GL(m ')(A(F)) over cyclic algebraic number fields E and F which are invariant under the Galois action, by exploiting a result proved by Arthur and Clozel, and prove a prime number theorem for this L-function.

引用

页码：35 / 46

页数：12

共 22 条

[1]

Arthur J., 1989, Annals of Mathematics Studies, V120

[2] Boundedness of automorphic L-functions in vertical strips [J].