Zobrazeno 1 - 10
of 360
pro vyhledávání: '"Matsumoto, Kohji"'
We study the asymptotic behavior of a multiple series of Mordell-Tornheim type and its integral analogue at x=0. Our approach is to show a relation between the multiple series and its integral analogue by using Abel's summation formula, and to deeply
Externí odkaz:
http://arxiv.org/abs/2409.19980
Autor:
Matsumoto, Kohji, Suzuki, Masatoshi
We study the $M$-functions, which describe the limit theorem for the value-distributions of the secondary main terms in the asymptotic formulas for the summatory functions of the Goldbach counting function. One of the new aspects is a sufficient cond
Externí odkaz:
http://arxiv.org/abs/2409.00888
Autor:
Matsumoto, Kohji, Umegaki, Yumiko
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 particular those asymptotic formulas are valid for Dirichlet L-functio
Externí odkaz:
http://arxiv.org/abs/2401.17610
Autor:
Matsumoto, Kohji, Sahoo, Dilip K.
In this paper we study the convergence of multiple Dirichlet L-series. In particular we give an integral representation of the series in the region of convergence by using Abel's summation formula. A certain generalized result is also mentioned.
Externí odkaz:
http://arxiv.org/abs/2309.04108
Autor:
Egami, Shigeki, Matsumoto, Kohji
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 whole plane. When it cannot, we further prove the existence of the natural
Externí odkaz:
http://arxiv.org/abs/2302.02549
Autor:
Matsumoto, Kohji, Nakasuji, Maki
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, or in terms of modified zeta-functions of root systems. First of all
Externí odkaz:
http://arxiv.org/abs/2301.05801
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 certain plausible analytical conditions, we prove that certain averages
Externí odkaz:
http://arxiv.org/abs/2209.11918
Autor:
Matsumoto, Kohji, Tsumura, Hirofumi
This paper is a continuation of our previous work on double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the M\"obius function, and so on. We consider the analytic behaviour around the non-positive integer
Externí odkaz:
http://arxiv.org/abs/2208.05149