A generalization of Ohno?s relation for multiple zeta values

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• 作者：Masahiro Igarashi ^{m05003x@math.nagoya-u.ac.jp}
• 关键词：Parametrized multiple series ; Multiple zeta value ; Ohno?s relation ; Hurwitz zeta-function
• 刊名：Journal of Number Theory
• 出版年：2012
• 出版时间：April 2012
• 年：2012
• 卷：132
• 期：4
• 页码：565-578
• 全文大小：194 K

文摘

In this paper, we prove that certain parametrized multiple series satisfy the same relation as Ohno?s relation for multiple zeta values. This result gives us a generalization of Ohno?s relation for multiple zeta values. By virtue of this generalization, we obtain a certain equivalence between the above relation among the parametrized multiple series and a subfamily of the relation. As applications of the above results, we obtain some results on multiple zeta values.