Advanced Topics in Analytic Number Theory
A.Y. 2024/2025
Learning objectives
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.
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.
Expected learning outcomes
Students will know the basic results about irrationality and transcendence of numbers and some of fundamental methods for their proof.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course can be attended as a single course.
Course syllabus and organization
Educational website(s)
Professor(s)
Reception:
My office: Dipartimento di Matematica, via Saldini 50, first floor, Room 1044.