On Mixed Joint Discrete Universality for a Class of Zeta-Functions: a Further Generalization

被引：4
|
作者：
Kacinskaite, Roma [1 ]
Matsumoto, Kohji [2 ]
机构：
[1] Vytautas Magnus Univ, Vileikos G 8, LT-44404 Kaunas, Lithuania
[2] Nagoya Univ, Chikusa Ku, Furocho, Nagoya, Aichi 4648602, Japan
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2020年 / 25卷 / 04期
关键词：
discrete shift; Matsumoto zeta-function; periodic Hurwitz zeta-function; simultaneous approximation; Steuding class; value distribution; weak convergence; universality; THEOREM; RIEMANN;
D O I：
10.3846/mma.2020.11751
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present the most general at this moment results on the discrete mixed joint value-distribution (Theorems 5 and 6) and the universality property (Theorems 3 and 4) for the class of Matsumoto zeta-functions and periodic Hurwitz zeta-functions under certain linear independence condition on the relevant parameters, such as common differences of arithmetic progressions, prime numbers etc.
引用
收藏
页码：569 / 583
页数：15
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