A generalization of Ohno%26apos;s relation for multiple zeta values

作者：Igarashi Masahiro^*

来源：Journal of Number Theory, 2012, 132(4): 565-578.

DOI：10.1016/j.jnt.2011.09.005

• Parametrized multiple series
• Multiple zeta value
• Ohno%26apos
• s relation
• Hurwitz zeta-function

In this paper, we prove that certain parametrized multiple series satisfy the same relation as Ohno%26apos;s relation for multiple zeta values. This result gives us a generalization of Ohno%26apos;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.

• 出版日期2012-4