Distribution modulo 1 and the discrete universality of the Riemann zeta-function

被引：19

作者：

Dubickas, Arturas ^{[1
]}

Laurincikas, Antanas ^{[1
]}

机构：

[1] Vilnius State Univ, Dept Math & Informat, Naugarduko 24, LT-03225 Vilnius, Lithuania

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2016年 / 86卷 / 01期

关键词：

Riemann zeta-function; Voronin's theorem; Discrete universality; Distribution modulo 1;

D O I：

10.1007/s12188-016-0123-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain some new discrete universality theorems on the approximation of analytic functions by shifts of the Riemann zeta-function. The novelty in formulation is that it involves shifts not by an arithmetical progression as before but by a more general sequence that is uniformly distributed modulo 1.

引用

页码：79 / 87

页数：9

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