JournalsprimsVol. 56, No. 1pp. 207–215

Polynomial Generalization of the Regularization Theorem for Multiple Zeta Values

  • Minoru Hirose

    Kyushu University, Fukuoka, Japan

  • Hideki Murahara

    Nakamura Gakuen University Graduate School, Fukuoka, Japan

  • Shingo Saito

    Kyushu University, Fukuoka, Japan
Polynomial Generalization of the Regularization Theorem for Multiple Zeta Values cover

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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.

Cite this article

Minoru Hirose, Hideki Murahara, Shingo Saito, Polynomial Generalization of the Regularization Theorem for Multiple Zeta Values. Publ. Res. Inst. Math. Sci. 56 (2020), no. 1, pp. 207–215

DOI 10.4171/PRIMS/56-1-9