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

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