Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
Shashank Kanade, Jeremy Lovejoy
TL;DR
This paper demonstrates how Bailey pairs can be employed to provide a straightforward proof of a mathematical identity by Chern, Li, Stanton, Xue, and Yee, and extends this approach to related identities and false theta functions.
Contribution
It introduces a novel application of Bailey pairs to prove and derive identities, simplifying existing proofs and generating new related identities.
Findings
Simplified proof of the Chern-Li-Stanton-Xue-Yee identity
Derivation of related identities using Bailey pairs
Introduction of false theta companions
Abstract
We show how Bailey pairs can be used to give a simple proof of an identity of Chern, Li, Stanton, Xue, and Yee. The same method yields a number of related identities as well as false theta companions.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models