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Primes of the Form $x 2 + ny 2$
David A. Cox
Broschiertes Buch

Primes of the Form $x 2 + ny 2$

Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions

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Examines when a prime $p$ can be written in the form $x {2} + ny {2}$. The book begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of quadratic forms.