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

Masahiro Igarashi

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arXiv · 0908.2536

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

Masahiro Igarashi

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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.

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Masahiro Igarashi. 2009-08-18. A parametrized generalization of Ohno's relation for multiple zeta values. https://arxiv.org/abs/0908.2536

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