J. Korean Math. Soc. 2022; 59(5): 1015-1045
Online first article July 25, 2022 Printed September 1, 2022
https://doi.org/10.4134/JKMS.j220167
Copyright © The Korean Mathematical Society.
Jeremy Lovejoy
8 Place Aur\'elie Nemours
Zagier introduced the term ``strange identity" to describe an asymptotic relation between a certain $q$-hypergeometric series and a partial theta function at roots of unity. We show that behind Zagier's strange identity lies a statement about Bailey pairs. Using the iterative machinery of Bailey pairs then leads to many families of multisum strange identities, including Hikami's generalization of Zagier's identity.
Keywords: Bailey pairs, strange identities, Andrews-Gordon identities
MSC numbers: 11F37, 11P84, 33D15
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