Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta 
values

Bachmann, Henrik; Charlton, Steven

doi:10.1016/j.ejc.2020.103133

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Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values

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Charlton, Steven
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.ejc.2020.103133
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Citation

Bachmann, H., & Charlton, S. (2020). Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values. European Journal of Combinatorics, 87: 103133. doi:10.1016/j.ejc.2020.103133.

Cite as: https://hdl.handle.net/21.11116/0000-0006-817A-F

Abstract

We present new determinant expressions for regularized Schur multiple zeta values. These generalize the known Jacobi–Trudi formulas and can be used to quickly evaluate certain types of Schur multiple zeta values. Using these formulas we prove that every Schur multiple zeta value with alternating entries in 1 and 3 can be written as a polynomial in Riemann zeta values. Furthermore, we give conditions on the shape, which determine when such Schur multiple zetas are polynomials purely in odd or in even Riemann zeta values.