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.
ASJC Scopus subject areas
- 数学 (全般)