Note on relations among multiple zeta-star values

TL;DR

This paper explores new relations among multiple zeta-star values by leveraging hypergeometric identities and ideas from various researchers, contributing to the understanding of these special mathematical constants.

Contribution

It introduces novel relations among multiple zeta-star values derived from hypergeometric identities, expanding the mathematical framework of these constants.

Findings

Derived new relations among multiple zeta-star values.

Connected hypergeometric identities to zeta-star value relations.

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

Abstract

In this note, by using several ideas of other researchers, we derive several relations among multiple zeta-star values from the hypergeometric identities of C. Krattenthaler and T. Rivoal.