Specialised Course on Number Theory
Official Course Description
This course will give an introduction to classical analytic number theory. We will introduce the Riemann zeta-function as well as more general L-functions, and study their analytic properties to reveal the distribution of primes, leading up to proofs of the prime number theorem and Dirichlet's theorem on primes in arithmetic progressions. If time permits, further topics in analytic number theory will be covered, such as sieve theory.
In order to better assimilate the content of this course, it is beneficial for students to have studied the course MATM12 Analytic Functions.