Yamamoto's Interpolation of Finite Multiple Zeta and Zeta-star Values

被引：1

作者：

Murahara, Hideki ^{[1
]}

Ono, Masataka ^{[2
]}

机构：

[1] Nakamura Gakuen Univ, Grad Sch, Jonan Ku, 5-7-1 Befu, Fukuoka 8140198, Japan

[2] Kyushu Univ, Multiple Zeta Res Ctr, Nishi Ku, 744 Motooka, Fukuoka 8190395, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2021年 / 44卷 / 02期

基金：

日本学术振兴会;

关键词：

Multiple zeta(-star) values; Interpolated multiple zeta values; Finite multiple zeta(-star) values; Symmetric multiple zeta(-star) values; DOUBLE SHUFFLE RELATIONS; WEIGHTED SUM FORMULA; DERIVATION; ALGEBRA;

D O I：

10.3836/tjm/1502179339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a polynomial interpolation of finite multiple zeta and zeta-star values with variable t, which is an analogue of interpolated multiple zeta values introduced by Yamamoto. We introduce several relations among them and, in particular, prove the cyclic sum formula, the Bowman-Bradley type formula, and the weighted sum formula. The harmonic relation, the shuffle relation, the duality relation, and the derivation relation are also presented.

引用

页码：285 / 312

页数：28

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