Stuffle product formulas of multiple zeta values

TL;DR

This paper derives recursive formulas for the stuffle product of multiple zeta values and applies them to prove new product identities, enhancing understanding of their algebraic structure.

Contribution

It introduces recursive formulas for the stuffle product of multiple zeta values and demonstrates their application to new product identities.

Findings

Recursive formulas for the stuffle product are established.

New product formulas involving strings of z_p are proved.

Method for applying formulas in general cases is described.

Abstract

We obtain recursive formulas for the stuffle product of multiple zeta values and of multiple zeta-star values. Then we apply the formulas to prove several stuffle product formulas with one or two strings of $z_p$'s. We also describe how to use our formulas in general cases.