Abstract
In his lost notebook, Ramanujan listed five identities related to the false theta function:
A new combinatorial interpretation and a proof of one of these identities are given. The methods of the proof allow for new multivariate generalizations of this identity. Additionally, the same technique can be used to obtain a combinatorial interpretation of another one of the identities.
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Acknowledgements
The author would like to thank Bruce Berndt for suggesting this project, and also thank Frank Garvan for suggesting Theorem 5.1 and Dennis Eichhorn for his many helpful comments.
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Dedicated to Professor George Andrews on the occasion of his eightieth birthday.
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Burson, H.E. A Bijective Proof of a False Theta Function Identity from Ramanujan’s Lost Notebook. Ann. Comb. 23, 579–588 (2019). https://doi.org/10.1007/s00026-019-00454-7
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DOI: https://doi.org/10.1007/s00026-019-00454-7