April 2013
Intermediate to advanced
384 pages
10h 3m
English
book
Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication
by David A. Cox
Content preview from Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication
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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/ |
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