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!)
- Motivation and goals for the course
- Euler's work on primes
- Riemann-Stieltjes integrals and partial summation
- The complex analytic view of primes
- The explicit formula
- The prime number theorem (Updated 10/21/17)
- Dirichlet's theorem
- The prime number theorem in arithmetic progressions
- (Coming soon) Shiu's theorem
Exercises:
- Two at end of Lecture 2, assigned 9/7/17. (Update: There's been an added third problem. It can be considered optional.)
- Two at end of Lecture 3, assigned 9/14/17.
- Three at end of Lecture 4, assigned 9/21/17.
- One at end of Lecture 5, assigned 9/28/17.
- Two at end of Lecture 6, assigned 10/18/17.