A generalization of Ohnoʼs relation for multiple zeta values

Abstract

In this paper, we prove that certain parametrized multiple series satisfy the same relation as Ohnoʼs relation for multiple zeta values. This result gives us a generalization of Ohnoʼs 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.