English

Bailey pairs and strange identities

Classical Analysis and ODEs 2022-03-29 v1

Abstract

Zagier introduced the term "strange identity" to describe an asymptotic relation between a certain qq-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.

Cite

@article{arxiv.2203.14391,
  title  = {Bailey pairs and strange identities},
  author = {Jeremy Lovejoy},
  journal= {arXiv preprint arXiv:2203.14391},
  year   = {2022}
}

Comments

Preprint, 27 pages

R2 v1 2026-06-24T10:27:36.518Z