A result on modular forms in characteristic p

Research output: Chapter in Book/Report/Conference proceedingConference contribution

21 Scopus citations


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 languageEnglish (US)
Title of host publicationModular Functions of one Variable V
Subtitle of host publicationProceedings International Conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik July 2-14, 1976
PublisherSpringer Verlag
Number of pages9
ISBN (Print)9783540083481
StatePublished - Aug 25 2006

Publication series

NameLecture Notes in Mathematics
ISSN (Print)0075-8434

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


Dive into the research topics of 'A result on modular forms in characteristic p'. Together they form a unique fingerprint.

Cite this