An interpolation of Ohno's relation to complex functions
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
TL;DR
This paper extends Ohno's relation, a key formula in multiple zeta values, to a broader context by interpolating it to complex functions, opening new avenues for analysis.
Contribution
It introduces a novel interpolation of Ohno's relation to complex functions, expanding its applicability beyond multiple zeta values.
Findings
Established a new interpolation framework for Ohno's relation
Demonstrated the extension's consistency with known cases
Potential applications in complex analysis and number theory
Abstract
Ohno's relation is a well known formula among multiple zeta values. In this paper, we present its interpolation to complex functions.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical Inequalities and Applications