Interpolated Schur multiple zeta values

TL;DR

This paper introduces interpolated Schur multiple zeta values, combining two advanced concepts in number theory, and establishes a Jacobi-Trudi formula that generalizes previous results and reveals algebraic relations.

Contribution

It defines interpolated Schur multiple zeta values and proves a Jacobi-Trudi formula for them, extending known results and uncovering new algebraic relations.

Findings

Established a Jacobi-Trudi formula for interpolated Schur multiple zeta values

Generalized previous results for Schur multiple zeta values

Revealed algebraic relations between interpolated multiple zeta values

Abstract

Inspired by a recent work of M. Nakasuji, O. Phuksuwan and Y. Yamasaki we combine interpolated multiple zeta values and Schur multiple zeta values into one object, which we call interpolated Schur multiple zeta values. Our main result will be a Jacobi-Trudi formula for a certain class of these new objects. This generalizes an analogous result for Schur multiple zeta values and implies algebraic relations between interpolated multiple zeta values.