8430 Handout 6: Proof of the Main Theorem

@inproceedings{Clark20088430H6,
  title={8430 Handout 6: Proof of the Main Theorem},
  author={Pete L. Clark},
  year={2008}
}
We are now going to take a decisive step forward by proving the Main Theorem on which primes p are represented by the principal quadratic form qD(x, y) of discriminant D < 0, when D is a fundamental discriminant, i.e., the discriminant of the full ring of integers of Q( √ D). Of course, to solve our original problem of representation of primes by x + ny for… CONTINUE READING