Linear relations of Ohno sums of multiple zeta values

2019/10/17 by Hirose, Minoru, Murahara, Hideki, Onozuka, Tomokazu +1
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1910.07740

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 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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