Universality of the Riemann zeta-function

被引：25

作者：

Laurincikas, Antanas ^{[1
,2
]}

机构：

[1] Vilnius Univ, Fac Math & Informat, LT-03225 Vilnius, Lithuania

[2] Siauliai Univ, Fac Math & Informat, LT-77156 Shiauliai, Lithuania

来源：

JOURNAL OF NUMBER THEORY | 2010年 / 130卷 / 10期

关键词：

Limit theorem; Riemann zeta-function; Space of analytic functions; Universality;

D O I：

10.1016/j.jnt.2010.04.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1975, S.M. Voronin proved the universality of the Riemann zeta-function zeta(s). This means that every non-vanishing analytic function can be approximated uniformly on compact subsets of the critical strip by shifts zeta(s + i tau). In the paper, we consider the functions F (zeta(s)) which are universal in the Voronin sense. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2323 / 2331

页数：9

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