Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values (Q2178675)
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| English | Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values |
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Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values (English)
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11 May 2020
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The definition of Schur multiple zeta values generalizes both the classical multiple zeta values and multiple zeta-star values. There are many determinantal results for Schur multiple zeta functions in the literature. In this paper, the authors show that Schur multiple zeta values of Young tableaux with constant diagonal entries have explicit expressions as determinants in Schur multiple zeta values of subribbons of a fixed ribbon \(R\). The authors also define regularized Schur multiple zeta values and obtain a generalized Jacobi-Trudi determinant expression of regularized Schur multiple zeta values. In the last section, the authors investigate many special cases of checkerboard style Schur multiple zeta values.
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multiple zeta values
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Schur functions
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Jacobi-Trudi formula
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