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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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