A generalized joint discrete universality theorem for the Riemann and Hurwitz zeta-functions

被引：13

作者：

Buivydas, Eugenijus ^{[1
]}

Laurincikas, Antanas ^{[2
]}

机构：

[1] Siauliai Univ, Inst Informat Math & Studies E, LT-77156 Shiauliai, Lithuania

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

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2015年 / 55卷 / 02期

关键词：

Hurwitz zeta-function; joint universality; linear independence; Riemann zeta-function; transcendental number;

D O I：

10.1007/s10986-015-9273-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a discrete version of the Mishou theorem on the approximation of every pair of analytic functions by shifts of the Riemann zeta-function and Hurwitz zeta-functions. For this, a certain independence hypothesis is applied.

引用

页码：193 / 206

页数：14

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[1] A Generalized Joint Discrete Universality Theorem for the Riemann and Hurwitz Zeta-Functions
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