Multiple zeta values and Rota--Baxter algebras

TL;DR

This paper explores the connection between multiple zeta values and Rota--Baxter algebras, establishing a framework that derives relations among zeta values from algebraic relations.

Contribution

It introduces a general framework linking multiple zeta values with Rota--Baxter algebras and derives new relations among zeta values from algebraic properties.

Findings

Established a framework connecting multiple zeta values and Rota--Baxter algebras

Derived relations among multiple zeta values from algebraic relations

Provided new insights into the algebraic structure of multiple zeta values

Abstract

We study multiple zeta values and their generalizations from the point of view of Rota--Baxter algebras. We obtain a general framework for this purpose and derive relations on multiple zeta values from relations in Rota--Baxter algebras.