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
收藏
页码：44 / 62
页数：19
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