Shashank Kanade, Jeremy Lovejoy, “Bailey Pairs and an Identity of Chern–Li–Stanton–Xue

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

Shashank Kanade^a, 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

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.

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

MSC: 33D15

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

Language: English

DOI: 10.3842/SIGMA.2025.021