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Q-hypergeometric double sums as mock theta functions

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Author(s)
Lovejoy, Jeremy 
Osburn, Robert 
Uri
http://hdl.handle.net/10197/7954
Date Issued
2013
Date Available
16T11:07:01Z September 2016
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. We also prove an identity between one of these sums and two classical mock theta functions introduced by Gordon and McIntosh.
Type of Material
Journal Article
Publisher
Mathematical Science Publishers
Journal
Pacific Journal of Mathematics
Volume
264
Issue
1
Start Page
151
End Page
162
Keywords
  • Q-hypergeometric seri...

  • Mock theta functions

  • Appell–Lerch series

  • Hecke-type double sum...

DOI
10.2140/pjm.2013.264.151
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Owning collection
Mathematics and Statistics Research Collection
Scopus© citations
11
Acquisition Date
Feb 2, 2023
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Views
1060
Acquisition Date
Feb 2, 2023
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Downloads
236
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