Bailey pairs and strange identities

2022/03/27 by Lovejoy, Jeremy · 2 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.14391

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.

Cited by

• Bailey pairs and quantum q-series identites. I. The classical identities
• Overpartitions with parts separated by parity

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