TL;DR
This paper presents new proofs for series identities using a novel duality technique initially developed for multiple zeta values, demonstrating its broader applicability.
Contribution
It introduces a new proof method for series identities based on a duality approach, extending its use beyond multiple zeta values.
Findings
New proofs for several series identities
Demonstration of the duality technique's versatility
Extension of the method to other series identities
Abstract
Recently, the author and Yamamoto invented a new proof of the duality for multiple zeta values. The technique is applicable in other series identities. In this article, we exhibit such proofs for some series identities.
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Taxonomy
TopicsSemiconductor Lasers and Optical Devices · Electrical Contact Performance and Analysis