A result on modular forms in characteristic p

Nicholas M. Katz

doi:10.1007/BFb0063944

A result on modular forms in characteristic p

Nicholas M. Katz

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

21 Scopus citations

Abstract

The action of the derivation θ = q d/dq on the q-expansions of modular forms in characteristic p is one of the fundamental tools in the Serre/Swinnerton-Dyer theory of mod p modular forms. In this note, we extend the basic results about this action, already known for P ≥ 5 and level one, to arbitrary p and arbitrary prime-to-p level.

Original language	English (US)
Title of host publication	Modular Functions of one Variable V
Subtitle of host publication	Proceedings International Conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik July 2-14, 1976
Publisher	Springer Verlag
Pages	53-61
Number of pages	9
ISBN (Print)	9783540083481
DOIs	https://doi.org/10.1007/BFb0063944
State	Published - Aug 25 2006

Publication series

Name	Lecture Notes in Mathematics
Volume	601
ISSN (Print)	0075-8434

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/BFb0063944

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A result on modular forms in characteristic p. / Katz, Nicholas M.
Modular Functions of one Variable V: Proceedings International Conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik July 2-14, 1976. Springer Verlag, 2006. p. 53-61 (Lecture Notes in Mathematics; Vol. 601).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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A result on modular forms in characteristic p

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