ANALOGUES OF THE AOKI-OHNO AND LE-MURAKAMI RELATIONS FOR FINITE MULTIPLE ZETA VALUES

被引：3

作者：

Kaneko, Masanobu ^{[1
]}

Oyama, Kojiro ^{[2
]}

Saito, Shingo ^{[3
]}

机构：

[1] Kyushu Univ, Fac Math, Nishi Ku, Motooka 744, Fukuoka, Fukuoka 8190395, Japan

[2] 1-31-17 Chuo, Aomori, Aomori 0300822, Japan

[3] Kyushu Univ, Fac Arts & Sci, Nishi Ku, Motooka 744, Fukuoka, Fukuoka 8190395, Japan

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2019年 / 100卷 / 01期

关键词：

multiple zeta value; finite multiple zeta value; Aoki-Ohno relation; Le-Murakami relation;

D O I：

10.1017/S0004972718001260

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish finite analogues of the identities known as the Aoki-Ohno relation and the Le-Murakami relation in the theory of multiple zeta values. We use an explicit form of a generating series given by Aoki and Ohno.

引用

页码：34 / 40

页数：7

共 11 条

[1] Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions
Aoki, T
Ohno, Y
[J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2005, 41 (02) : 329 - 337
[2] QUASI-SYMMETRIC FUNCTIONS AND MOD p MULTIPLE HARMONIC SUMS
Hoffman, Michael E.
[J]. KYUSHU JOURNAL OF MATHEMATICS, 2015, 69 (02) : 345 - 366
[3] Kaneko, 2017, RIMS KOKYUROKU BES B, P175
[4] Kaneko M., Finite multiple zeta values
[5] Kaneko M., PUBL MATH BESANCON
[6] KONTSEVICHS INTEGRAL FOR THE HOMFLY POLYNOMIAL AND RELATIONS BETWEEN VALUES OF MULTIPLE ZETA-FUNCTIONS
LE, TQT
MURAKAMI, J
[J]. TOPOLOGY AND ITS APPLICATIONS, 1995, 62 (02) : 193 - 206
[7] Multiple zeta values of fixed weight, depth, and height
Ohno, Y
Zagier, D
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2001, 12 (04): : 483 - 487
[8] On functional equations of finite multiple polylogarithms
Sakugawa, Kenji
Seki, Shin-ichiro
[J]. JOURNAL OF ALGEBRA, 2017, 469 : 323 - 357
[9] Yaeo K., 2017, THESIS
[10] Zhao J., 2016, SERIES NUMBER THEORY, V12

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