Kawashima's relations for interpolated multiple zeta values

被引：7

作者：

Tanaka, Tatsushi ^{[1
]}

Wakabayashi, Noriko ^{[2
]}

机构：

[1] Kyoto Sangyo Univ, Dept Math, Fac Sci, Kita Ku, Kyoto, Kyoto 6038555, Japan

[2] Ritsumeikan Univ, Coll Sci & Engn, Kusatsu, Shiga 5258577, Japan

来源：

JOURNAL OF ALGEBRA | 2016年 / 447卷

基金：

日本学术振兴会;

关键词：

t-MZVs; Harmonic products; t-Kawashima relations; Cyclic sum formula;

D O I：

10.1016/j.jalgebra.2015.09.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Yamamoto introduced polynomials in one variable t which interpolates multiple zeta and zeta-star values (t-MZVs for short), provided new prospects on two-one conjecture of Ohno and Zudilin and proved the cyclic sum formula for t-MZVs. In this paper, we establish a generalization of Kawashima's relations (t-Kawashima relations) for t-MZVs. We prove the cyclic sum formula for t-MZVs using a type of derivation operator, together with the t-Kawashima relations. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：424 / 431

页数：8

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