Math 250: The Distribution of Prime Numbers

Instructor: Robert J. Lemke Oliver

Schedule: TTh 1:30-2:45 in Bromfield-Pearson 006

This page will hold notes for the course along with homework assignments.

Course description and syllabus.

Lecture notes: (Please let me know if you spot any errors!)

  1. Motivation and goals for the course
  2. Euler's work on primes
  3. Riemann-Stieltjes integrals and partial summation
  4. The complex analytic view of primes
  5. The explicit formula
  6. The prime number theorem (Updated 10/21/17)
  7. Dirichlet's theorem
  8. The prime number theorem in arithmetic progressions
  9. (Coming soon) Shiu's theorem