Polynomial generalization of the regularization theorem for multiple zeta values (Q2302863)

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Polynomial generalization of the regularization theorem for multiple zeta values
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    Polynomial generalization of the regularization theorem for multiple zeta values (English)
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    26 February 2020
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    Summary: Ihara, Kaneko and Zagier [\textit{K. Ihara} et al., Compos. Math. 142, No. 2, 307--338 (2006; Zbl 1186.11053)] defined two regularizations of multiple zeta values and proved the regularization theorem that describes the relation between those regularizations. We show that the regularization theorem can be generalized to polynomials whose coefficients are regularizations of multiple zeta values and that specialize to symmetric multiple zeta values defined by Kaneko and Zagier.
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    multiple zeta value
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    regularization theorem
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    symmetric multiple zeta value
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    symmetrized multiple zeta value
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    finite real multiple zeta value
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