Finite and symmetric Mordell–Tornheim multiple zeta values

Henrik Bachmann; Yoshihiro Takeyama; Koji Tasaka

doi:10.2969/jmsj/84348434

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Finite and symmetric Mordell–Tornheim multiple zeta values

Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka

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Keywords: Kaneko–Zagier conjecture (finite multiple zeta values and symmetric multiple zeta values), Mordell–Tornheim multiple zeta values, Mordell–Tornheim–Witten (𝑞-)multiple zeta values

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2021 Volume 73 Issue 4 Pages 1129-1158

DOI https://doi.org/10.2969/jmsj/84348434

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Abstract

We introduce finite and symmetric Mordell–Tornheim type of multiple zeta values and give a new approach to the Kaneko–Zagier conjecture stating that the finite and symmetric multiple zeta values satisfy the same relations.

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