The Bailey chain and mock theta functions

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Title: The Bailey chain and mock theta functions
Authors: Lovejoy, Jeremy
Osburn, Robert
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Date: May-2013
Abstract: Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. After illustrating this with some examples, we show how to use a change of base in Bailey pairs due to Bressoud, Ismail and Stanton to explicitly construct families of q-hypergeometric multisums which are mock theta functions. We also prove identities involving some of these multisums and certain classical mock theta functions.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: Elsevier
Journal: Advances in Mathematics
Volume: 238
Start page: 442
End page: 458
Copyright (published version): 2013 Elsevier
Keywords: Mock theta functionsMixed mock theta functionsBailey pairsBailey chainRamanujans lost notebookPartitionsIdentitiesSeriesFormsSequencesRank
DOI: 10.1016/j.aim.2013.02.005
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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