ON ZEROS OF SOME ANALYTIC FUNCTIONS RELATED TO THE RIEMANN ZETA-FUNCTION

被引:2
作者
Laurincikas, Antanas [1 ]
机构
[1] Vilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, Lithuania
关键词
Riemann zeta-function; universality; zero-distribution;
D O I
10.3336/gm.48.1.05
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For some classes of functions F, we obtain that the function F(xi(s)), where xi(s) denotes the Riemann zeta-function, has infinitely many zeros in the strip 1/2 < Res < 1. For example, this is true for the functions sin xi(s) and cos xi(s).
引用
收藏
页码:59 / 65
页数:7
相关论文
共 10 条
[1]  
[Anonymous], 1996, MATH ITS APPL
[2]   More than 41% of the zeros of the zeta function are on the critical line [J].
Bui, H. M. ;
Conrey, Brian ;
Young, Matthew P. .
ACTA ARITHMETICA, 2011, 150 (01) :35-64
[3]  
GOURDON X, 2004, 10 1 ZEROS RIEMANN Z
[4]  
Ivic A., 1985, The Riemann Zeta-Function
[5]   Universality of the Riemann zeta-function [J].
Laurincikas, Antanas .
JOURNAL OF NUMBER THEORY, 2010, 130 (10) :2323-2331
[6]  
Laurinikas A., 2002, LERCH ZETA FUNCTION
[7]  
Mergelyan S.N., 1952, Usp. Mat. Nauk., V7, P31
[8]  
Voronin S.M., 2006, SELECTED WORKS MATH
[9]  
Voronin SM., 1975, MATH USSR IZV, V9, P443
[10]  
Walsh J. L., 1960, American Mathematical Society Colloquium Publications, VXX