On the distribution of the a-points of a Selberg class L-function modulo one

被引：3

作者：

Jakhlouti, Med-Taib ^{[1
]}

Mazhouda, Kamel ^{[1
]}

Steuding, Joern ^{[2
]}

机构：

[1] Univ Monastir, Fac Sci Monastir, Dept Math, Monastir 5000, Tunisia

[2] Univ Wurzburg, Dept Math, D-97074 Wurzburg, Germany

来源：

ARCHIV DER MATHEMATIK | 2015年 / 104卷 / 05期

关键词：

Selberg class; a-Points; Value-distribution; RIEMANN ZETA-FUNCTION; ZEROS;

D O I：

10.1007/s00013-015-0757-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a function F(s) from the Selberg class and an arbitrary fixed complex number a, we study the roots of the equation F(s) = a. We show that if F has a polynomial Euler product and satisfies the analogue of the Lindelof hypothesis, then the ordinates of these roots are uniformly distributed modulo one.

引用

页码：419 / 429

页数：11