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

作     者：GILLESPIE Tim JI GuangHua 

作者机构：Department of Mathematics The University of Iowa Iowa City Iowa 52242 USA School of Mathematics Shandong University Jinan 250100 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2011年第54卷第1期

页      面：35-46页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Independent Innovation Foundation of Shandong University 

主　　题：函数连接 素数定理 代数数域 塞尔 伽罗瓦 长征 证明 

摘      要：In this paper we define a Rankin-Selberg L-function attached to automorphic cuspidal represen-tations of GLm(AE) × GLm (AF ) 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.