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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.NT2012
A functional relation for Tornheim's double zeta functions
Kazuhiro Onodera
In this paper, we generalize the partial fraction decomposition which is fundamental in the theory of multiple zeta values, and prove a relation between Tornheim's double zeta func…