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Primes of the form x^2 + ny^2

Format Post in Mathematics BY David A. Cox

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Primes of the form x^2 + ny^2
David A.Primes of the form ... Textbook Cox
Type: eBook
Released: 1997
Publisher: Wiley-Interscience
Page Count: 363
Format: djvu
Language: English
ISBN-10: 0471190799
ISBN-13: 9780471190790
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, 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. From the Publisher 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, 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.

Primes of the form x^2 + ny^2

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