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 -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