An explicit parity theorem for multiple polylogarithms

Published 4 Aug 2025 in math.NT | (2508.02040v1)

Abstract: 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. Hirose's recent work on the parity theorem for multiple zeta values, this paper presents an explicit formula for the parity theorem for multiple polylogarithms.

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Ryota Umezawa

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