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arXiv · 1908.09307

Yamamoto's interpolation of finite multiple zeta and zeta-star values

Hideki Murahara·Masataka Ono
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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. 2020-08-24. Yamamoto's interpolation of finite multiple zeta and zeta-star values. https://arxiv.org/abs/1908.09307

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