The Discrete Case of the Mixed Joint Universality for a Class of Certain Partial Zeta-functions

被引：2
|
作者：
Kacinskaite, Roma [1 ]
Matsumoto, Kohji [2 ]
机构：
[1] Vytautas Magnus Univ, Dept Math & Stat, Vileikos 8, LT-44404 Kaunas, Lithuania
[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2021年 / 25卷 / 04期
关键词：
approximation; discrete shift; Euler products; periodic Hurwitz zeta-function; Matsumoto zeta-function; value distribution; universality;
D O I：
10.11650/tjm/210201
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new type of mixed discrete joint universality properties, which is satisfied by a wide class of zeta-functions. We study the universality for a certain modification of Matsumoto zeta-functions (phi h)(s) and a collection of periodic Hurwitz zeta-functions zeta(s, alpha;B) under the condition that the common difference of arithmetical progression h > 0 is such that exp {2 pi/h} is a rational number and parameter alpha is a transcendental number.
引用
收藏
页码：647 / 663
页数：17
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