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Arithmetic properties of non-harmonic weak Maass forms
Author(s):
Kathrin
Bringmann;
David
Penniston
Journal:
Proc. Amer. Math. Soc.
137
(2009),
825-833.
MSC (2000):
Primary 11F33
Posted:
September 12, 2008
MathSciNet review:
2457420
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Additional information
Abstract:
We prove the existence of an infinite family of non-harmonic weak Maass forms of varying weights and Laplace eigenvalues having algebraic coefficients, and show that the coefficients of these forms satisfy congruences of Ramanujan type.
References:
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Additional Information:
Kathrin
Bringmann
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Address at time of publication:
Mathematisches Institut, Universität Köln, Weyertal 86-90, 50931 Köln, Germany
Email:
kbringma@math.uni-koeln.de
David
Penniston
Affiliation:
Department of Mathematics, Furman University, Greenville, South Carolina 29613
Email:
david.penniston@furman.edu
DOI:
10.1090/S0002-9939-08-09541-5
PII:
S 0002-9939(08)09541-5
Received by editor(s):
July 23, 2007,
Received by editor(s) in revised form:
February 26, 2008
Posted:
September 12, 2008
Communicated by:
Ken Ono
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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