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2021 Yamamoto's Interpolation of Finite Multiple Zeta and Zeta-star Values
Hideki MURAHARA, Masataka ONO
Tokyo J. Math. Advance Publication 1-28 (2021). DOI: 10.3836/tjm/1502179339

Abstract

We study a polynomial interpolation of finite multiple zeta and zeta-star values with variable $t$, which is an analogue of interpolated multiple zeta values introduced by Yamamoto. We introduce several relations among them and, in particular, prove the cyclic sum formula, the Bowman--Bradley type formula, and the weighted sum formula. The harmonic relation, the shuffle relation, the duality relation, and the derivation relation are also presented.

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Hideki MURAHARA. Masataka ONO. "Yamamoto's Interpolation of Finite Multiple Zeta and Zeta-star Values." Tokyo J. Math. Advance Publication 1 - 28, 2021. https://doi.org/10.3836/tjm/1502179339

Information

Published: 2021
First available in Project Euclid: 23 March 2021

Digital Object Identifier: 10.3836/tjm/1502179339

Subjects:
Primary: 11M32
Secondary: msc2010

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

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