Polynomial Generalization of the Regularization Theorem for Multiple Zeta Values
Minoru Hirose
Kyushu University, Fukuoka, JapanHideki Murahara
Nakamura Gakuen University Graduate School, Fukuoka, JapanShingo Saito
Kyushu University, Fukuoka, Japan
![Polynomial Generalization of the Regularization Theorem for Multiple Zeta Values cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-56-issue-1.png&w=3840&q=90)
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