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Primes of the form x^2 + ny^2

Format Post in Mathematics BY David A. Cox

0471190799 Shared By Guest

Primes of the form x^2 + ny^2 David A. Cox is available to download <table><tr><td colspan="2"><strong style="font-size:1.This material is available do download at niSearch.com on David A. Cox's eBooks, 2em;">Primes of the form x^2 + ny^2</strong><br/>David A.Primes of the form ... Textbook Cox</td></tr> <tr> <td><b>Type:</b></td> <td>eBook</td> </tr> <tr> <td><b>Released:</b></td> <td>1997</td> </tr> <tr> <td><b>Publisher:</b></td> <td>Wiley-Interscience</td> </tr> <tr> <td><b>Page Count:</b></td> <td>363</td> </tr> <tr> <td><b>Format:</b></td> <td>djvu</td> </tr> <tr> <td><b>Language:</b></td> <td>English</td> </tr> <tr> <td><b>ISBN-10:</b></td> <td>0471190799</td> </tr> <tr> <td><b>ISBN-13:</b></td> <td>9780471190790</td> </tr> </table> 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.

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