A discrete version of the Mishou theorem

被引：19

作者：

Buivydas, Eugenijus ^{[1
]}

Laurincikas, Antanas ^{[2
]}

机构：

[1] Siauliai Univ, Dept Math & Informat, LT-77156 Shiauliai POI, Lithuania

[2] Vilnius Univ, Dept Math & Informat, LT-03225 Vilnius, Lithuania

来源：

RAMANUJAN JOURNAL | 2015年 / 38卷 / 02期

关键词：

Algebraically independent numbers; Hurwitz zeta-function; Joint universality; Limit theorem; Riemann zeta-function; Universality; ZETA; UNIVERSALITY;

D O I：

10.1007/s11139-014-9631-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

H. Mishou proved that the Riemann zeta-function and Hurwitz zeta-function with transcendental parameter are jointly universal, i.e., their shifts (continuous) approximate any pair of analytic functions. In the paper, a discrete version of the Mishou theorem is presented. In this case, the parameter of the Hurwitz zeta-function and the step of discrete shifts are connected by a certain independence relation.

引用

页码：331 / 347

页数：17

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