On generalized stuffle relations between cell-zeta values

TL;DR

This paper introduces a new family of linear relations between cell-zeta values that imply stuffle relations among multiple zeta values, enhancing understanding of their algebraic structure.

Contribution

It presents a novel set of linear relations between cell-zeta values that generalize and imply known stuffle relations for multiple zeta values.

Findings

Established new linear relations between cell-zeta values.

Showed these relations imply known stuffle relations.

Enhanced the algebraic understanding of multiple zeta values.

Abstract

We introduce a family of linear relations between cell-zeta values that have a form similar to product map relations and jointly with them imply stuffle relations between multiple zeta values.