VOL. 84 | 2020 On the investigation of the Matsumoto zeta-function
Roma Kačinskaitė

Editor(s) Hidehiko Mishou, Takashi Nakamura, Masatoshi Suzuki, Yumiko Umegaki

Adv. Stud. Pure Math., 2020: 123-159 (2020) DOI: 10.2969/aspm/08410123


The study of the value distribution and the universality property of various zeta- and $L$-functions are one of interesting topics in analytic number theory. In this paper, we focus on the investigations of the polynomial Euler products or so called Matsumoto zeta-functions, and give an overview on results for this function.

Also, the facts from the personal and scientific life of Professor Kohji Matsumoto, who introduced this function, are given. It is impossible to describe briefly his all significant results, and we will focus only on the short overview of main directions of investigations.


Published: 1 January 2020
First available in Project Euclid: 27 May 2020

zbMATH: 07283184

Digital Object Identifier: 10.2969/aspm/08410123

Primary: 11-02 , 11M35 , 11M36 , 11M41

Keywords: Bohr-Jessen's type results , continuity , Density , discreteness , polynomial Euler product , Universality , value distribution , zeta-function

Rights: Copyright © 2020 Mathematical Society of Japan


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