Polynomial generalization of the regularization theorem for multiple zeta values

Minoru Hirose; Hideki Murahara; Shingo Saito

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arXiv · 1808.06745

Polynomial generalization of the regularization theorem for multiple zeta values

Minoru Hirose·Hideki Murahara·Shingo Saito

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Abstract

Ihara, Kaneko, and Zagier 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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Minoru Hirose, Hideki Murahara, Shingo Saito. 2018-08-21. Polynomial generalization of the regularization theorem for multiple zeta values. https://arxiv.org/abs/1808.06745

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