Double shuffle and Hoffman's relations for interpolated multiple zeta values

被引：4

作者：

Wakabayashi, Noriko ^{[1
]}

机构：

[1] Ritsumeikan Univ, Coll Sci & Engn, Nojihigashi 1-1-1, Kusatsu 5258577, Japan

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 09期

基金：

日本学术振兴会;

关键词：

Interpolated multiple zeta values; Hoffman's relation; double shuffle structure; HARMONIC SERIES; STAR VALUES;

D O I：

10.1142/S1793042117501226

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The polynomials interpolating multiple zeta values and multiple zeta-star values using a parameter t were introduced by Yamamoto. We call these t-MZVs. In this paper, we establish the shuffle product for t-MZVs to prove Hoffman type relation and double shuffle relation for t-MZVs.

引用

页码：2245 / 2251

页数：7

共 23 条

[21] The Bowman-Bradley theorem for multiple zeta-star values
Kondo, Hiroki
Saito, Shingo
Tanaka, Tatsushi
JOURNAL OF NUMBER THEORY, 2012, 132 (09) : 1984 - 2002
[22] A new integral-series identity of multiple zeta values and regularizations
Kaneko, Masanobu
Yamamoto, Shuji
SELECTA MATHEMATICA-NEW SERIES, 2018, 24 (03): : 2499 - 2521
[23] Polylogarithms and multiple zeta values from free Rota-Baxter algebras
Guo Li
Zhang Bin
SCIENCE CHINA-MATHEMATICS, 2010, 53 (09) : 2239 - 2258

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