Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values

TL;DR

This paper develops finite analogues of key identities in the theory of multiple zeta values, expanding understanding of their algebraic structure using generating series.

Contribution

It introduces finite analogues of the Aoki-Ohno and Le-Murakami relations, providing new insights into finite multiple zeta values.

Findings

Finite analogues of Aoki-Ohno relation established

Finite analogues of Le-Murakami relation established

Uses explicit generating series by Aoki and Ohno

Abstract

We establish finite analogues of the identities known as the Aoki-Ohno relation and the Le-Murakami relation in the theory of multiple zeta values. We use an explicit form of a generating series given by Aoki and Ohno.