Lecture Notes in Mathematics

Arithmetic of p-adic Modular Forms

Authors: Gouvea, Fernando Q.

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About this book

The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject.

Table of contents (3 chapters)

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-38854-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-3-540-18946-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Arithmetic of p-adic Modular Forms
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1304
Copyright
1988
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-38854-8
DOI
10.1007/BFb0082111
Softcover ISBN
978-3-540-18946-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 122
Topics