The Bailey transform and false theta functions |
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| Authors: | George E Andrews S Ole Warnaar |
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| Institution: | (1) The Pennsylvania State University, University Park, Pennsylvania 16802, USA;(2) Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Melbourne, Australia |
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| Abstract: | An empirical exploration of five of Ramanujan's intriguing false theta function identities leads to unexpected instances of
Bailey's transform which, in turn, lead to many new identities for both false and partial theta functions.
2000 Mathematics Subject Classification Primary—33D15, 11P83
Partially supported by National Science Foundation Grant DMS 0457003.
Supported by the Australian Research Council. |
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| Keywords: | Ramanujan False theta series Bailey transform Bailey pair |
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