4 papers
An explicit parity theorem for multiple polylogarithms
Ryota Umezawa
In 2017, E. Panzer proved the parity theorem for multiple polylogarithms. While his proof is simple and constructive, it does not yield a general explicit formula. Inspired by M. H…
Evaluation of iterated log-sine integrals in terms of multiple polylogarithms
Ryota Umezawa
It is known that multiple zeta values can be written in terms of certain iterated log-sine integrals. Conversely, we evaluate iterated log-sine integrals in terms of multiple polyl…
Multiple zeta values and iterated log-sine integrals
Ryota Umezawa
We introduce an iterated integral version of (generalized) log-sine integrals (iterated log-sine integrals) and prove a relation between a multiple polylogarithm and iterated log-s…
On an analog of the Arakawa-Kaneko zeta function and relations of some multiple zeta values
Ryota Umezawa
T. Ito defined an analog of the Arakawa-Kaneko zeta function to obtain relations among Mordell-Tornheim multiple zeta values. In this paper, we develop two things related to an ana…