A new proof of the duality of multiple zeta values and its generalizations

TL;DR

This paper presents a novel proof of the duality of multiple zeta values that avoids iterated integrals, and extends the method to Ohno's relation for ($q$-)multiple zeta values.

Contribution

It introduces a new proof technique for the duality of multiple zeta values and generalizes it to related relations without using iterated integrals.

Findings

New proof of duality of multiple zeta values

Extension of method to Ohno's relation for ($q$-)multiple zeta values

Avoids traditional iterated integral approach

Abstract

We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for ($q$-)multiple zeta values.