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].
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页码：45 / 53
页数：9
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