Linear relations of Ohno sums of multiple zeta values

Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, Nobuo Sato

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)556-567
Number of pages12
JournalIndagationes Mathematicae
Volume31
Issue number4
DOIs
Publication statusPublished - Jul 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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