The Pieri formulas for hook type Schur multiple zeta functions

Abstract

We study the Pieri type formulas for the Schur multiple zeta functions along with those for the Schur functions. To express 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.