Hostname: page-component-77c89778f8-rkxrd Total loading time: 0 Render date: 2024-07-17T04:12:21.906Z Has data issue: false hasContentIssue false

Isogeny Covariant Differential Modular Forms Modulo p

Published online by Cambridge University Press:  04 December 2007

Chris Hurlburt
Affiliation:
University of New Mexico, Albuquerque, NM 87131, U.S.A. E-mail: hurlburt@math.unm.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Research Article
Copyright
© 2001 Kluwer Academic Publishers