A short proof of the Mock Theta Conjectures using Maass forms

Author:
Amanda Folsom

Journal:
Proc. Amer. Math. Soc. **136** (2008), 4143-4149

MSC (2000):
Primary 11F37

DOI:
https://doi.org/10.1090/S0002-9939-08-09434-3

Published electronically:
June 17, 2008

MathSciNet review:
2431026

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Amanda Folsom**

Affiliation:
Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706

Email:
folsom@math.wisc.edu

DOI:
https://doi.org/10.1090/S0002-9939-08-09434-3

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

Article copyright:
© Copyright 2008
American Mathematical Society