The Pieri formulas for hook type Schur multiple zeta functions
arXiv:2105.12418 · doi:10.1016/j.jcta.2022.105642
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.
23 pages