Connectors of the Ohno relation for parametrized multiple zeta series
Hideki Murahara, Tomokazu Onozuka
TL;DR
This paper introduces new connectors to simplify the proof of a generalized Ohno relation for parametrized multiple zeta series, building on recent developments in the theory of multiple zeta values.
Contribution
The paper presents novel connectors that streamline Igarashi's proof of the generalized Ohno relation for parametrized multiple zeta series.
Findings
Simplified proof of Igarashi's generalization
Introduction of new connectors for multiple zeta series
Enhanced understanding of the Ohno relation
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 zeta series. In this paper, we give new connectors to simplify his proof.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Algebra and Geometry