Primes of the Form x2+ny2 (Heftet)

Fermat Class Field Theory and Complex Multiplication

Serie: Wiley Series in Pure & Applied Mathematics 


Innbinding: Heftet
Utgivelsesår: 1997
Antall sider: 368
Forlag: John Wiley and Sons Ltd
Språk: Engelsk
ISBN/EAN: 9780471190790
Omtale Primes of the Form x2+ny2
Provides a general solution to the question of which primes p can be expressed in the form x + ny . Covered first are the special cases considered by Fermat, which involve only quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the mignificent formulas of complex multiplication.

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