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Another proof of Kaneko–Ohno’s duality formula for multiple zeta star values

Volume 174 / 2023

Xin Si, Fan Luo 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.

Authors

  • Xin SiSchool of Mathematics and Statistics
    Xiamen University of Technology
    Xiamen 361005, P.R. China
    e-mail
  • Fan LuoSchool of Mathematics and Statistics
    Xiamen University of Technology
    Xiamen 361005, P.R. China
    e-mail

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