Linear relations of Ohno sums of multiple zeta values

Minoru Hirose; Hideki Murahara; Tomokazu Onozuka; Nobuo Sato

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arXiv · 1910.07740

Linear relations of Ohno sums of multiple zeta values

Minoru Hirose·Hideki Murahara·Tomokazu Onozuka·Nobuo Sato

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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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Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, Nobuo Sato. 2019-10-17. Linear relations of Ohno sums of multiple zeta values. https://arxiv.org/abs/1910.07740

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