Cyclic sum formula for certain parametrized multiple zeta values

TL;DR

This paper extends the cyclic sum formula for multiple zeta-star values by introducing a three-parameter generalization, addressing a previously open problem in the field.

Contribution

It provides a new three-parameter generalization of the cyclic sum formula for multiple zeta-star values, building on prior two-parameter extensions.

Findings

Proposes a three-parameter generalization of the cyclic sum formula.

Addresses an open problem posed by Igarashi.

Enhances understanding of the structure of multiple zeta-star values.

Abstract

Ohno-Wakabayashi's cyclic sum formula for multiple zeta-star values is generalized by Igarashi with one or two parameters. In this article, we give a possible answer for one of his problems about a generalization with three parameters.