Integral expressions for Schur multiple zeta values

TL;DR

This paper extends integral representations of Schur multiple zeta values to more general cases with constant diagonal entries and explores their duality relations, enriching the theoretical framework of these special functions.

Contribution

It generalizes existing integral formulas for Schur multiple zeta values to broader classes with constant diagonal entries and investigates their duality properties.

Findings

Derived new integral expressions for generalized Schur multiple zeta values.

Established duality relations based on the integral representations.

Expanded the theoretical understanding of Schur multiple zeta values.

Abstract

Nakasuji, Phuksuwan, and Yamasaki defined the Schur multiple zeta values and gave iterated integral expressions of the Schur multiple zeta values of the ribbon type. This paper generalizes their integral expressions to the ones of more general Schur multiple zeta values having constant entries on the diagonals. Furthermore, we also discuss the duality relations for Schur multiple zeta values obtained from the integral expressions.