Selberg's normal density theorem for automorphic l-functions for GLm

被引：2
|
作者：
Yan Qu [1 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 10期
基金：
中国国家自然科学基金;
关键词：
automorphic l-functions; generalized riemann hypothesis; normal density;
D O I：
10.1007/s10114-005-0926-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let pi be an irreducible unitary cuspidal representation of GL(m)(A(Q)) with M >= 2, and L(s,pi) the L-function attached to pi. Under the Generalized Riemarm Hypothesis for L(s,pi), We estimate the normal density of primes in short intervals for the automorphic L-function L(s, pi). Our result generalizes the corresponding theorem of Selberg for the Riemann zeta-function.
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页码：1903 / 1908
页数：6
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