Advanced Topics in Analytic Number Theory

A.Y. 2024/2025
6
Max ECTS
42
Overall hours
SSD
MAT/05
Language
English
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.
Expected learning outcomes
Students will know the basic results about irrationality and transcendence of numbers and some of fundamental methods for their proof.
Single course

This course can be attended as a single course.

Course syllabus and organization
Professor(s)
Reception:
My office: Dipartimento di Matematica, via Saldini 50, first floor, Room 1044.
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