On some explicit evaluations of multiple zeta-star values

TL;DR

This paper provides explicit evaluations of multiple zeta-star values, expressing them as rational multiples of powers of pi squared, advancing understanding of their algebraic structure.

Contribution

It introduces new explicit formulas for multiple zeta-star values, linking them to rational multiples of pi squared, which was not previously established.

Findings

Explicit evaluations of multiple zeta-star values as rational multiples of pi squared

New formulas linking zeta-star values to powers of pi^2

Enhanced understanding of the algebraic structure of zeta-star values

Abstract

In this paper, we give some explicit evaluations of multiple zeta-star values which are rational multiple of powers of $\pi^2$.