Shuffle product of desingularized multiple zeta functions at integer points

TL;DR

This paper explores the shuffle-type formula for special values of desingularized multiple zeta functions at integer points, providing an integral/differential expression to establish the formula.

Contribution

It introduces a new integral/differential approach to analyze desingularized multiple zeta functions at integer points, proving a shuffle-type formula.

Findings

Established a shuffle-type formula for desingularized multiple zeta functions at integers

Derived an iterated integral/differential expression for these functions

Enhanced understanding of the structure of multiple zeta values

Abstract

In this paper, we investigate the ``shuffle-type'' formula for special values of desingularized multiple zeta functions at integer points. It is proved by giving an iterated integral/differential expression for the desingularized multiple zeta functions at integer points.