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Linear relations of Ohno sums of multiple zeta values

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arxiv 1910.07740 v1 pith:UFMJZZMB submitted 2019-10-17 math.NT

Minoru Hirose , Hideki Murahara , Tomokazu Onozuka , Nobuo Sato This is my paper
classification math.NT
keywords ohnorelationsfamilieslinearmultiplerelationsumsvalues
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abstract

Ohno's relation is a well-known family of relations among multiple zeta values, which can naturally be regarded as a type of duality for a certain power series which we call an Ohno sum. In this paper, we investigate $\mathbb{Q}$-linear relations among Ohno sums which are not contained in Ohno's relation. We prove two new families of such relations, and pose several further conjectural families of such relations.

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