Modular forms and L-functions II

NMAG473

Summer semester 2019/20

Course description:

The course aims to introduce analytic number theory. It will cover analytic proofs of infinitude of primes, arithmetic functions, certain analytic properties of the Riemann zeta function, proof of the Prime Number Theorem. The course will be based on the transcript of the course I took in 2011/12.

Notes:

Part 2 - Arithmetic functions and Dirichlet Series

Part 3 - Elementary Prime Number Theory

Part 4 - Proof of Prime Number Theory

Part 5 - Sums of Arithmetic Functions

Recommended literature:

Introduction to Analytic Number Theory - T. Apostol.