The topics to be covered and the method of instruction to be used will be announced at the beginning of each semester that such courses are offered. See departmental bulletins.

The following topics will be covered: 1. Dirichlet's Theorem on primes in progressions 2. Dirichlet L-functions, class numbers 3. Analytic theory: analytic continuation, functional equations and the Prime Number Theorem 4. Non-vanishing of L(1, \chi_d), Siegel's theorem and its ineffectivity 5. The Bombieri-Vinogradov theorem 6. Elementary Sieve 7. Vinogradov's Theorem and his bilinear sieve method 8. Primality testing 9. The Burgess bound 10. Elementary counting in finite fields

Prerequisite: Math 185.

Repeat Rules