Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee

Shashank Kanade ^a and Jeremy Lovejoy ^b
^a) Department of Mathematics, University of Denver, 2390 South York Street, Denver, Colorado 80210, USA
^b) CNRS, Université Paris Cité, Bâtiment Sophie Germain, Case Courier 7014, 8 Place Aurélie Nemours, 75205 Paris Cedex 13, France

Received October 28, 2024, in final form March 19, 2025; Published online March 29, 2025

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.

Key words: Bailey pairs, $q$-series identities, false theta functions.

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