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Complex multiplication /
"This is a self-contained account of the state of the art in classical complex multiplication that includes recent results on rings of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the theory of ellip...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
Ã2010.
|
| Colección: | New mathematical monographs ;
15. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.