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arXiv · 2203.14391

Bailey pairs and strange identities

Jeremy Lovejoy
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Abstract

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.

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Jeremy Lovejoy. 2022-03-27. Bailey pairs and strange identities. https://arxiv.org/abs/2203.14391

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