activity
20142024
most citedA survey on the theory of universality for zeta and -functions

27 citations · 35 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2024

Asymptotic formulas for the logarithm of general L-functions at and near s=1

Kohji Matsumoto, Yumiko Umegaki

We consider a general form of L-function L(s) defined by an Euler product and satisfies several analytic assumptions. We show several asymptotic formulas for L(1) and log L(1). In…

math.NT2023

A function-field analogue of the Goldbach counting function and the associated Dirichlet series

Shigeki Egami, Kohji Matsumoto

We consider a function-field analogue of Dirichlet series associated with the Goldbach counting function, and prove that it can, or cannot, be continued meromorphically to the whol…

math.NT2023

Expressions of content-parametrized Schur multiple zeta-functions via the Giambelli formula

Kohji Matsumoto, Maki Nakasuji

In this article, we consider the expressions for content-parametrized Schur multiple zeta-functions in terms of multiple zeta-functions of Euler-Zagier type and their star-variants…

math.NT2022

Double Dirichlet series associated with arithmetic functions II

Kohji Matsumoto, Hirofumi Tsumura

This paper is a continuation of our previous work on double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the Möbius function, and so on.…

math.NT201427 cited

A survey on the theory of universality for zeta and -functions

Kohji Matsumoto

We survey the results and the methods in the theory of universality for various zeta and -functions, obtained in these forty years after the first discovery of the universality…

math.NT20144 cited

Numerical computations on the zeros of the Euler double zeta-function I

Kohji Matsumoto, Mayumi Shōji

The distribution of the zeros of the Euler double zeta-function , in the case when , is studied numerically. Some similarity to the distribution of the zeros…