q-hypergeometric double sums as mock theta functions
Number Theory
2021-02-03 v2 Combinatorics
Abstract
Recently, Bringmann and Kane established two new Bailey pairs and used them to relate certain q-hypergeometric series to real quadratic fields. We show how these pairs give rise to new mock theta functions in the form of q-hypergeometric double sums. Additionally, we prove an identity between one of these sums and two classical mock theta functions introduced by Gordon and McIntosh.
Cite
@article{arxiv.1204.2431,
title = {q-hypergeometric double sums as mock theta functions},
author = {Jeremy Lovejoy and Robert Osburn},
journal= {arXiv preprint arXiv:1204.2431},
year = {2021}
}
Comments
12 pages, to appear in Pacific J. Math