A restricted sum formula for a q-analogue of multiple zeta values

TL;DR

This paper introduces a new linear relation for a q-analogue of multiple zeta values, extending a known restricted sum formula to the q-analogue setting, advancing understanding of these special functions.

Contribution

It provides a novel linear relation for q-analogues of multiple zeta values, generalizing a classical restricted sum formula.

Findings

Established a new linear relation for q-analogues of multiple zeta values

Extended the restricted sum formula to the q-analogue case

Contributed to the theoretical understanding of q-analogue multiple zeta values

Abstract

We prove a new linear relation for a q-analogue of multiple zeta values. It is a q-extension of the restricted sum formula obtained by Eie, Liaw and Ong for multiple zeta values.