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.
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页码：35 / 46
页数：12
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