Expressions of content-parametrized Schur multiple zeta-functions via the Giambelli formula
Number Theory
2023-01-18 v1
Abstract
In this article, we consider the expressions for content-parametrized Schur multiple zeta-functions in terms of multiple zeta-functions of Euler-Zagier type and their star-variants, or in terms of modified zeta-functions of root systems. First of all, we focus on the Schur multiple zeta-function of hook type. And then, applying the Giambelli formula and induction argument, we obtain the expressions for general content-parametrized Schur multiple zeta-functions.
Keywords
Cite
@article{arxiv.2301.05801,
title = {Expressions of content-parametrized Schur multiple zeta-functions via the Giambelli formula},
author = {Kohji Matsumoto and Maki Nakasuji},
journal= {arXiv preprint arXiv:2301.05801},
year = {2023}
}