Reinhard Schertz

Complex Multiplication

• Gebundenes Buch

Produktbeschreibung

A self-contained account of the state of the art in classical complex multiplication.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 376
• Erscheinungstermin: 5. Januar 2012
• Englisch
• Abmessung: 235mm x 157mm x 27mm
• Gewicht: 760g
• ISBN-13: 9780521766685
• ISBN-10: 0521766680
• Artikelnr.: 28245034

Autorenporträt

Reinhard Schertz was Professor of Mathematics at the University of Augsburg in Germany until his retirement in 2008.

Inhaltsangabe

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.