Complex multiplication /

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Bibliographic Details
Author / Creator:Schertz, Reinhard, 1943-
Imprint:Cambridge, UK ; New York : Cambridge University Press, 2010.
Description:xiii, 361 p. : ill.
Language:English
Series:New mathematical monographs ; 15
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8209660
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ISBN:9780521766685 (hardback)
Notes:Electronic reproduction. Palo Alto, Calif. : ebrary, 2010. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.
Table of Contents:
  • Preface
  • 1. Elliptic functions
  • 2. Modular functions
  • 3. Basic facts from number theory
  • 4. Factorisation of singular values
  • 5. The reciprocity law
  • 6. Generation of ring class fields and ray class fields
  • 7. Integral basis in ray class fields
  • 8. Galois module structure
  • 9. Berwick's congruences
  • 10. Cryptographically relevant elliptic curves
  • 11. The class number formulas of Curt Meyer
  • 12. Arithmetic interpretation of class number formulas
  • References
  • Index of notation
  • Index