Another proof of Kaneko–Ohno’s duality formula for multiple zeta star values
Volume 174 / 2023
Colloquium Mathematicum 174 (2023), 1-11
MSC: Primary 11M32.
DOI: 10.4064/cm8943-5-2023
Published online: 19 July 2023
Abstract
We prove Kaneko–Ohno’s duality relation for multiple zeta star values by using an integral involving the classical polylogarithm function and logarithmic function with the help of a few results of Xu (2017). Moreover, we also discuss some related results involving Mordell–Tornheim zeta values.