Advanced Topics in Analytic Number Theory

A clever but now very easy argument due to Cantor proves that almost every real number is a
transcendental number. Nevertheless, proving that a given number is transcendental or even only
irrational is a much more complicated task needing stronger and stronger methods of proof. The course
some of the main topics about this problem will be discussed.

Students will know the basic results about irrationality and transcendence of numbers and some of fundamental methods for their proof.