Drinfeld modular forms modulo 𝔭

Vincent, Christelle

doi:10.1090/S0002-9939-2010-10459-8

Drinfeld modular forms modulo $\mathfrak {p}$
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by Christelle Vincent

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

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

Published electronically: July 6, 2010

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Abstract:

The classical theory of “modular forms modulo $\ell$” was developed by Serre and Swinnerton-Dyer in the early 1970’s. Their results revealed the important role that the quasi-modular form $E_2$, Ramanujan’s $\Theta$-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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Drinfeld modular forms modulo $\mathfrak {p}$
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Abstract: