English

A general double sum identity, mock theta functions, and Bailey pairs

Number Theory 2021-04-23 v1

Abstract

We obtain some Bailey pairs associated with indefinite quadratic forms with the βn\beta_n connected to a finite sum. A new general identity is given, which provides identities for qq-hypergeometric series, including mock theta functions.

Keywords

Cite

@article{arxiv.2004.12044,
  title  = {A general double sum identity, mock theta functions, and Bailey pairs},
  author = {Alexander E Patkowski},
  journal= {arXiv preprint arXiv:2004.12044},
  year   = {2021}
}
R2 v1 2026-06-23T15:05:24.508Z