A survey of the theory of mixed joint universality for zeta-functions

被引：0
|
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, Furocho, Nagoya, Aichi 4648602, Japan
来源：
NUMBER THEORY | 2022年
关键词：
Mixed joint universality; discrete universality; Dirichlet series; Euler product; Steuding class; zeta-function; value distribution; universality; DISCRETE UNIVERSALITY; RIEMANN;
D O I：
10.1515/9783110761115-004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of mixed joint universality was introduced by H. Mishou and independently by J. Sander and J. Steuding in the case of the Riemann zeta-function and Hurwitz zeta-functions, and then various generalizations and analogies have been obtained in subsequent research. In this article, we survey the development of this theory and describe the present state of the art.
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页码：47 / 59
页数：13
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