Drinfeld modular forms modulo
Author:
Christelle Vincent
Journal:
Proc. Amer. Math. Soc. 138 (2010), 42174229
MSC (2010):
Primary 11F52; Secondary 11F33, 11F30, 11F25
Published electronically:
July 6, 2010
MathSciNet review:
2680048
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Abstract: The classical theory of ``modular forms modulo '' was developed by Serre and SwinnertonDyer in the early 1970's. Their results revealed the important role that the quasimodular form , Ramanujan's operator, and the filtration of a modular form would subsequently play in applications of their theory. Here we obtain the analog of their results in the Drinfeld modular form setting.
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Additional Information
Christelle Vincent
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email:
vincent@math.wisc.edu
DOI:
http://dx.doi.org/10.1090/S000299392010104598
Received by editor(s):
November 24, 2009
Received by editor(s) in revised form:
February 22, 2010
Published electronically:
July 6, 2010
Additional Notes:
The author is grateful for the support of an NSERC graduate fellowship
Communicated by:
Matthew A. Papanikolas
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
