Drinfeld modular forms modulo

Author:
Christelle Vincent

Journal:
Proc. Amer. Math. Soc. **138** (2010), 4217-4229

MSC (2010):
Primary 11F52; Secondary 11F33, 11F30, 11F25

DOI:
https://doi.org/10.1090/S0002-9939-2010-10459-8

Published electronically:
July 6, 2010

MathSciNet review:
2680048

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Abstract | References | Similar Articles | Additional Information

Abstract: The classical theory of ``modular forms modulo '' was developed by Serre and Swinnerton-Dyer in the early 1970's. Their results revealed the important role that the quasi-modular 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:
https://doi.org/10.1090/S0002-9939-2010-10459-8

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.