66 citations · 276 across the 52 of their papers we have counts for
54 papers
On the distribution of the zeros of the Euler double zeta-function
Kohji Matsumoto, Tomokazu Onozuka, Isao Wakabayashi
We investigate the distribution of zeros of the function , namely the function defined by putting in the Euler double zeta-function . Our theore…
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…
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…
On the value-distribution of the logarithms of symmetric power L-functions in the level aspect
Philippe Lebacque, Kohji Matsumoto, Masahiro Mine +1
We consider the value distribution of logarithms of symmetric power L-functions associated with newforms of even weight and prime power level. In the symmetric square case, under c…
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.…
On the value-distribution of the logarithms of symmetric square L-functions in the level aspect
Philippe Lebacque, Kohji Matsumoto, Yumiko Umegaki
We consider the value distribution of logarithms of symmetric square L-functions associated with newforms of even weight and prime power level at real s> 1/2. We prove that certain…
On mixed joint discrete universality for a class of zeta-functions: One more case
Roma Kacinskaite, Kohji Matsumoto, Lukasz Pankowski
We prove a new case of mixed discrete joint universality theorem on approximation of certain target couple of analytic functions by the shifts of a pair consisting of the function…
A survey on the theory of multiple Dirichlet series with arithmetical coefficients on the numerators
Kohji Matsumoto
We survey some recent developments in the analytic theory of multiple Dirichlet series with arithmetical coefficients on the numerators.
An M-function associated with Goldbach's problem
Kohji Matsumoto
We prove the existence of the M-function, by which we can state the limit theorem for the value-distribution of the main term in the asymptotic formula for the summatory function o…
On the behavior of multiple zeta-functions with identical arguments on the real line
Kohji Matsumoto, Toshiki Matsusaka, Ilija Tanackov
We study the behavior of -fold zeta-functions of Euler-Zagier type with identical arguments on the real line. Our basic tool is an "infinite'' version of New…
On the behavior of multiple zeta-functions with identical arguments on the real line I
Kohji Matsumoto, Ilija Tanackov
In the present series of papers, we study the behavior of the r-fold zeta-function of Euler-Zagier type with identical arguments on the real line. In this first part, we consider t…
Expressions of Schur multiple zeta-functions of anti-hook type by zeta-functions of root systems
Kohji Matsumoto, Maki Nakasuji
We investigate relations among Schur multiple zeta functions and zeta-functions of root systems attached to semisimple Lie algebras. Schur multiple zeta functions are defined as su…
Values of multiple zeta-functions with polynomial denominators at non-positive integers
Driss Essouabri, Kohji Matsumoto
We study rather general multiple zeta-functions whose denominators are given by polynomials. The main aim is to prove explicit formulas for the values of those multiple zeta-functi…
On mixed joint discrete universality for a class of zeta-functions III
Roma Kacinskaite, Kohji Matsumoto
We present the most general at this moment results on the discrete mixed joint value-distribution and the universality property for the class of Matsumoto zeta-functions and period…
Values at non-positive integers of partially twisted multiple zeta-functions I
Driss Essouabri, Kohji Matsumoto
We study the behavior of partially twisted multiple zeta-functions. We give new closed and explicit formulas for special values at non-positive integer points of such zeta-function…
On the theory of -functions
Kohji Matsumoto
We survey the value-distribution theory of zeta and -functions, originated by H. Bohr, and developed further by Y. Ihara and others recently.
On mixed joint discrete universality for a class of zeta-functions II
Roma Kacinskaite, Kohji Matsumoto
We study analytic properties of the pair consisting of a rather general form of zeta-function with an Euler product and a periodic Hurwitz zeta-function with a transcendental param…
An overview and supplements to the theory of functional relations for zeta-functions of root systems
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
We give an overview of the theory of functional relations for zeta-functions of root systems, and show some new results on functional relations involving zeta-functions of root sys…
On the value-distribution of symmetric power L-functions
Kohji Matsumoto, Yumiko Umegaki
We first briefly survey the value-distribution theory of L-functions of the Bohr-Jessen flavor (or the theory of "M-functions"). Limit formulas for the Riemann zeta-function, Diric…
The discrete case of the mixed joint universality for a class of certain partial zeta-functions
Roma Kacinskaite, Kohji Matsumoto
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 a…
An asymptotic formula for the -th power mean value of
Kohji Matsumoto, Sumaia Saad Eddin
Let be a positive integer (), be a Dirichlet character modulo , be the attached Dirichlet -function, and let denote its derivative…
Double Dirichlet series associated with arithmetic functions
Kohji Matsumoto, Akihiko Nawashiro, Hirofumi Tsumura
We consider double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the Möbius function, and so on. We show analytic continuations of them b…
Zeta-functions of root systems and Poincaré polynomials of Weyl groups
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
We consider a certain linear combination of zeta-functions of root systems, where is a root system of rank and . Sh…
On the density function for the value-distribution of automorphic -functions
Kohji Matsumoto, Yumiko Umegaki
The Bohr-Jessen limit theorem is a probabilistic limit theorem on the value-distribution of the Riemann zeta-function in the critical strip. Moreover their limit measure can be wri…