A general joint discrete universality theorem for Hurwitz zeta-functions

被引：3

作者：

Laurincikas, Antanas ^{[1
]}

机构：

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

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 154卷

关键词：

Algebraically independent numbers; Hurwitz zeta-function; Joint universality; Linear independence;

D O I：

10.1016/j.jnt.2015.02.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, it is obtained that different discrete shifts of Hurwitz zeta-functions simultaneously approximate a given collection of analytic functions. For this, a certain linear independence hypothesis is applied. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：44 / 62

页数：19

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