Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication

NOTATION

The following standard notation will be used throughout the book.

, , ,	The integers, rational numbers, real numbers, and complex numbers
Re(z), Im(z)	The real and imaginary parts of z ∈
	The upper half plane {x + iy ∈ : y > 0}
q	The finite field with q elements
p	The ring of p-adic integers
/n	The ring of integers modulo n
[a] ∈ A/B	The coset of a ∈ A in the quotient A/