Exploring arithmetic densities

Goal:

A basic result in analytic number theory states that the `likelihood' for an integer to be squarefree is 6/pi^2, i.e. roughly 61%.

The aim of this project is to explore this and similar situations and to illustrate them.

Schedule: To be determined.

Supervisors: Gabor Wiese, Alexander Rahm

Difficulty level: EML 1,2 or 3.

Tools: Any computer language.

Literature:

Results: [to be completed at the end of the project.]

FSCT -- University of Luxembourg