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

共 50 条

[21] A class of relations among multiple zeta values
Kawashima, Gaku
JOURNAL OF NUMBER THEORY, 2009, 129 (04) : 755 - 788
[22] Relations of multiple zeta values and their algebraic expression
Hoffman, ME
Ohno, Y
JOURNAL OF ALGEBRA, 2003, 262 (02) : 332 - 347
[23] On the duality and the derivation relations for multiple zeta values
Kawasaki, Naho
Tanaka, Tatsushi
RAMANUJAN JOURNAL, 2018, 47 (03): : 651 - 658
[24] Symmetry on linear relations for multiple zeta values
Ihara, Kentaro
Ochiai, Hiroyuki
NAGOYA MATHEMATICAL JOURNAL, 2008, 189 : 49 - 62
[25] Relations for multiple zeta values and Mellin transforms of multiple polylogarithms
Okuda, J
Ueno, K
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2004, 40 (02) : 537 - 564
[26] Linear relations of Ohno sums of multiple zeta values
Hirose, Minoru
Murahara, Hideki
Onozuka, Tomokazu
Sato, Nobuo
INDAGATIONES MATHEMATICAE-NEW SERIES, 2020, 31 (04): : 556 - 567
[27] DERIVATION RELATIONS AND DUALITY FOR THE SUM OF MULTIPLE ZETA VALUES
Li, Zhonghua
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2018, 58 (02) : 215 - 220
[28] Duality and double shuffle relations of multiple zeta values
Kajikawa, Jun
JOURNAL OF NUMBER THEORY, 2006, 121 (01) : 1 - 6
[29] Derivation and double shuffle relations for multiple zeta values
Ihara, K
Kaneko, M
Zagier, D
COMPOSITIO MATHEMATICA, 2006, 142 (02) : 307 - 338
[30] NOTE ON RELATIONS AMONG MULTIPLE ZETA(-STAR) VALUES
Igarashi, Masahiro
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (39): : 710 - 756

← 1 2 3 4 5 →