ON FUNCTIONS OF ARAKAWA AND KANEKO AND MULTIPLE ZETA VALUES

被引：11

作者：

Kuba, Markus ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Diskrete Math & Geometrie, A-1040 Vienna, Austria

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2010年 / 4卷 / 01期

关键词：

Multiple zeta values; finite multiple zeta values; multiple zeta star values; finite stuffle identity; SUM; FORMULAS;

D O I：

10.2298/AADM1000011K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study two functions xi(k)(s) and xi(k1,...,kr)(s) introduced by ARAKAWA and KANEKO [Nagoya Math. J., 153 (1999), 189-209] and relate them with (finite) multiple zeta values and multiple zeta star values using elementary methods. In particular, we give an alternative proof of a result of Ohno [Y. OHNO: J. Number Theory, 74 (1999), 39-43].

引用

页码：45 / 53

页数：9

共 50 条

[21] ON A GENERALISATION OF A RESTRICTED SUM FORMULA FOR MULTIPLE ZETA VALUES AND FINITE MULTIPLE ZETA VALUES
Murahara, Hideki
Murakami, Takuya
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 101 (01) : 23 - 34
[22] Some results on multiple polylogarithm functions and alternating multiple zeta values
Xu, Ce
JOURNAL OF NUMBER THEORY, 2020, 214 : 177 - 201
[23] Interpolation of multiple zeta and zeta-star values
Yamamoto, Shuji
JOURNAL OF ALGEBRA, 2013, 385 : 102 - 114
[24] A STUDY ON MULTIPLE ZETA VALUES FROM THE VIEWPOINT OF ZETA-FUNCTIONS OF ROOT SYSTEMS
Komori, Yasushi
Matsumoto, Kohji
Tsumura, Hirofumi
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2014, 51 (01) : 43 - 76
[25] The algebra of generating functions for multiple divisor sums and applications to multiple zeta values
Bachmann, Henrik
Kuehn, Ulf
RAMANUJAN JOURNAL, 2016, 40 (03) : 605 - 648
[26] The algebra of generating functions for multiple divisor sums and applications to multiple zeta values
Henrik Bachmann
Ulf Kühn
The Ramanujan Journal, 2016, 40 : 605 - 648
[27] On multiple zeta values of even arguments
Hoffman, Michael E.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (03) : 705 - 716
[28] Algebraic setup of non-strict multiple zeta values
Muneta, Shuichi
ACTA ARITHMETICA, 2009, 136 (01) : 7 - 18
[29] Derivation relations for finite multiple zeta values
Murahara, Hideki
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (02) : 419 - 427
[30] Stuffle Product Formulas of Multiple Zeta Values
Li, Zhonghua
Qin, Chen
TAIWANESE JOURNAL OF MATHEMATICS, 2018, 22 (03): : 529 - 543

← 1 2 3 4 5 →