The Pieri formulas for hook type Schur multiple zeta functions
Number Theory
2022-08-26 v1 Combinatorics
Abstract
We study the Pieri type formulas for the Schur multiple zeta functions along with those for the Schur polynomials. To formulate these formulas, we introduce a new insertion rule for adding boxes in the Young tableaux and obtain the results for the hook type Schur multiple zeta functions. For the proof, we show {certain} extended Jacobi-Trudi formulas for the Schur multiple zeta functions.
Cite
@article{arxiv.2105.12418,
title = {The Pieri formulas for hook type Schur multiple zeta functions},
author = {Maki Nakasuji and Wataru Takeda},
journal= {arXiv preprint arXiv:2105.12418},
year = {2022}
}
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23 pages