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Primes of the Form x2 + ny2: Fermat, Class Field Theory, and Complex Multiplication
Primes of the Form x2 ny2 Fermat Class Field Theory and Complex Multiplication Author:David A. Cox 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 c... more »ontext 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.« less