TY - JOUR
T1 - Polynomial generalization of the regularization theorem for multiple zeta values
AU - Hirose, Minoru
AU - Murahara, Hideki
AU - Saito, Shingo
N1 - Funding Information:
This work was supported by JSPS KAKENHI (grant nos. JP18J00982, JP18K03243 and JP18K13392). The authors wish to express their gratitude to Yoshinori Ya-masaki for helpful comments.
Publisher Copyright:
© 2020 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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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U2 - 10.4171/PRIMS/56-1-9
DO - 10.4171/PRIMS/56-1-9
M3 - Article
AN - SCOPUS:85078659042
SN - 0034-5318
VL - 56
SP - 207
EP - 215
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
IS - 1
ER -