A parametrized generalization of Ohno's relation for multiple zeta values

Abstract

In this paper, we prove that certain parametrized multiple series which generalize multiple zeta values satisfy the same relation as Ohno's relation for multiple zeta values. This is a parametrized generalization of Ohno's relation for multiple zeta values. By virtue of this generalization, we obtain a certain equivalence between the relation for the parametrized multiple series and its subfamily. As applications of the above results, we obtain some results for multiple zeta values.

The contents of this version are completely the same as those of the paper submitted to the Journal of Number Theory on June 26, 2008

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Cited by in corpus (1)

• On generalizations of the sum formula for multiple zeta values