Primes of the Form X + NY: Fermat, Class Field Theory, and Complex Multiplication David A. Cox

ISBN: 9780471190790

Published: May 8th 1997

Paperback

368 pages


Description

Primes of the Form X + NY: Fermat, Class Field Theory, and Complex Multiplication  by  David A. Cox

Primes of the Form X + NY: Fermat, Class Field Theory, and Complex Multiplication by David A. Cox
May 8th 1997 | Paperback | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 368 pages | ISBN: 9780471190790 | 10.62 Mb

Provides a general solution to the question of which primes p can be expressed in the form x2 + ny2. Covered first are the special cases considered by Fermat, which involve only quadratic reciprocity and the genus theory of quadratic forms. Further,MoreProvides a general solution to the question of which primes p can be expressed in the form x2 + ny2. 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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