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arXiv · 2105.12418

The Pieri formulas for hook type Schur multiple zeta functions

Maki Nakasuji·Wataru Takeda
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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.

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Maki Nakasuji, Wataru Takeda. 2021-05-26. The Pieri formulas for hook type Schur multiple zeta functions. https://doi.org/10.1016/j.jcta.2022.105642

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