Primes of the Form x^2 + ny^2 pdf epub mobi txt 电子书下载 2025

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DAVID A. COX, PhD, is William J. Walker Professor of Mathematics in the Department of Mathematics at Amherst College.

出版者:Wiley-Interscience

作者:David A. Cox

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页数:368

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出版时间:1997-5-8

价格:USD 139.00

装帧:Paperback

isbn号码:9780471190790

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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.