# Yamamoto’s Interpolation of Finite Multiple Zeta and Zeta-star Values

Hideki Murahara, Masataka Ono

1 被引用数 (Scopus)

## 抄録

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.

本文言語 English 285-312 28 Tokyo Journal of Mathematics 44 2 https://doi.org/10.3836/tjm/1502179339 Published - 2021 12月 はい

• 数学 (全般)

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