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

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

2009-08-18

arxiv.org/abs/0908.2536v8

Mathematics

Number Theory

The contents of this version are completely the same as those of the paper submitted to the Journal of Number Theory on June 2

Scientific paper

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.

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