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A bijective proof of a false theta function identity from Ramanujan's lost notebook
Preprint
12 June 2018
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Abstract
A new combinatorial interpretation and proof of a false theta function identity from Ramanujan's lost notebook are given. The methods of the proof allow for new bivariate generalizations of this identity.
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Most cited references5
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The Bailey transform and false theta functions
S. Warnaar, George E. Andrews (2007)
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A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan
Krishnaswami Alladi (2010)
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Combinatorial Proofs of Identities in Ramanujan?s Lost Notebook Associated with the Rogers-Fine Identity and False Theta Functions
Bruce Berndt, Ae Yee (2003)