[FALL 2020]

Prerequisites

Basic algebra, basic complex analysis. Everything which is needed will be included in the lecture notes and can be read by the students prior to the course.

Aim of the course

The aim of the course will be to learn the students some basics of analytic number theory, focused on prime number theory. Probably in addition we will discuss an application of the circle method. A short overview of the contents: Dirichlet series, arithmetic functions, characters, the Riemann zeta function and L-functions, a tauberian theorem, proof of the prime number theorem for arithmetic progressions, and some other topics, probably an application of the Hardy-Littlewood circle method and time dependent something else

Lecturers

Jan-Hendrik Evertse, and hopefully a second lecturer