Connectors of the Ohno relation for parametrized multiple series

Hideki Murahara; Tomokazu Onozuka

doi:10.1216/rmj.2022.52.687

Abstract

The Ohno relation is a well known relation in the theory of multiple zeta values. Recently, Seki and Yamamoto introduced a connector method and gave its succinct proof. On the other hand, Igarashi obtained the generalization of the Ohno relation for parametrized multiple series. In this paper, we give new connectors to simplify his proof.

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Hideki Murahara. Tomokazu Onozuka. "Connectors of the Ohno relation for parametrized multiple series." Rocky Mountain J. Math. 52 (2) 687 - 694, April 2022. https://doi.org/10.1216/rmj.2022.52.687

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Received: 7 December 2020; Revised: 24 July 2021; Accepted: 26 July 2021; Published: April 2022

First available in Project Euclid: 17 May 2022

MathSciNet: MR4422959

zbMATH: 1497.11220

Digital Object Identifier: 10.1216/rmj.2022.52.687

Subjects:

Primary: 11M32

Keywords: connector , duality relation , multiple zeta values , Ohno relation , parametrized multiple series

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