2 papers
math.NT2024
Mordell-Tornheim multiple zeta-functions, their integral analogues, and relations among multiple polylogarithms
Kohji Matsumoto, Kazuhiro Onodera, Dilip K. Sahoo
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…
math.NT2023
Convergence of multiple Dirichlet L-series
Kohji Matsumoto, Dilip K. Sahoo
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 s…