Generalized Jacobi-Trudi determinants for regularized Schur multiple zeta values show that alternating 1-3 checkerboard Schur multiple zeta values are polynomials in Riemann zeta values.
Bachmann: Interpolated Schur multiple zeta values , J
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Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values
Generalized Jacobi-Trudi determinants for regularized Schur multiple zeta values show that alternating 1-3 checkerboard Schur multiple zeta values are polynomials in Riemann zeta values.