Certain weighted sum formulas for multiple zeta values with some parameters

TL;DR

This paper derives new generalized relations among multiple zeta values involving four and six parameters, expanding the understanding of their algebraic structure and interrelations.

Contribution

It introduces novel weighted sum formulas for multiple zeta values with four and six parameters, generalizing previous known formulas.

Findings

New relation with four parameters derived

Relation with six parameters also obtained

Enhances understanding of multiple zeta value relations

Abstract

Multiple zeta values (MZVs) are real numbers which are defined by certain multiple series. Recently, many people have researched for relations among them and many relations are well known. In this paper, we get a new relation among them which is a generalization of a formula obtained by Eie, Liaw and Ong, and has four parameters. Moreover, by using similar method, we also obtain a relation which has six parameters.