New Families of Weighted Sum Formulas for Multiple Zeta Values

TL;DR

This paper introduces new families of identities for multiple zeta values using generating functions and double shuffle relations, advancing the understanding of their algebraic structure.

Contribution

It presents novel families of weighted sum formulas for multiple zeta values derived from generating functions and shuffle relations.

Findings

New identities for multiple zeta values

Enhanced understanding of their algebraic relations

Potential applications in number theory

Abstract

In this paper we use the generating functions and the double shuffle relations satisfied the multiple zeta values to derive some new families of identities.