Abstract
An interesting theory arises when the classical theory of modular forms is expanded to include differential analogs of modular forms. One of the main motivations for expanding the theory of modular forms is the existence of differential modular forms with a remarkable property, called isogeny covariance, that classical modular forms cannot possess. Among isogeny covariant differential modular forms there exists a particular modular form that plays a central role in the theory. The main result presented in the article will be the explicit computation modulo p of this fundamental isogeny covariant differential modular form.
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References
Buium, A.: Differential modular forms, Crelle J., 520 (2000), 95-167.
Katz, N.: p-adic Properties of Modular Schemes and Modular Forms, Lecture Notes in Math. 350, Springer, New York, 1973.
Lang, S.: Introduction to Modular Forms, Grundlehren Math. Wiss. 222, Springer, Berlin, 1976.
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Hurlburt, C. Isogeny Covariant Differential Modular Forms Modulo p. Compositio Mathematica 128, 17–34 (2001). https://doi.org/10.1023/A:1017536003747
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DOI: https://doi.org/10.1023/A:1017536003747