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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On certain explicit congruences for mock theta functions


Author: Matthias Waldherr
Journal: Proc. Amer. Math. Soc. 139 (2011), 865-879
MSC (2010): Primary 11F33, 11F37
Published electronically: August 19, 2010
MathSciNet review: 2745639
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Abstract: Recently, Garthwaite and Penniston have shown that the coefficients of Ramanujan's mock theta function $ \omega$ satisfy infinitely many congruences of Ramanujan type. In this work we give the first explicit examples of congruences for Ramanujan's mock theta function $ \omega$ and another mock theta function $ \mathcal{C}$.


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Additional Information

Matthias Waldherr
Affiliation: Mathematical Institute, University of Cologne, Weyertal 86-90, 50931 Cologne, Germany
Email: mwaldher@math.uni-koeln.de

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10538-5
PII: S 0002-9939(2010)10538-5
Received by editor(s): March 25, 2010
Received by editor(s) in revised form: April 14, 2010
Published electronically: August 19, 2010
Additional Notes: The author is supported by Graduiertenkolleg “Global Structures in Geometry and Analysis”
Communicated by: Kathrin Bringmann
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.