A short proof of the Mock Theta Conjectures using Maass forms
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- by Amanda Folsom PDF
- Proc. Amer. Math. Soc. 136 (2008), 4143-4149 Request permission
Abstract:
A celebrated work of D. Hickerson gives a proof of the Mock Theta Conjectures using Hecke-type identities discovered by G. Andrews. Here, we respond to a remark by K. Bringmann, K. Ono and R. Rhoades and provide a short proof of the Mock Theta Conjectures by realizing each side of the identities as the holomorphic projection of a harmonic weak Maass form.References
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Additional Information
- Amanda Folsom
- Affiliation: Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706
- MR Author ID: 690449
- Email: folsom@math.wisc.edu
- Received by editor(s): November 5, 2007
- Published electronically: June 17, 2008
- Additional Notes: The author is grateful for a National Science Foundation Postdoctoral Fellowship and wishes to thank Ken Ono for suggesting this project. The author also thanks the referee for a very detailed and thoughtful report, including useful suggestions that have helped ease the exposition of this paper.
- Communicated by: Ken Ono
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 4143-4149
- MSC (2000): Primary 11F37
- DOI: https://doi.org/10.1090/S0002-9939-08-09434-3
- MathSciNet review: 2431026