Skip to main content

Results on the probability of the existence of rational points on certain families of conics

Posted in
Speaker: 
Maria Matthis, Melvin Weiß, Adriaan de Clercq
Datum: 
Mit, 2019-08-28 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The three interns present their work done in August under the guidance of Efthymios Sofos.

We prove results on the probability for the conic  aX^^2+bY^^2=cZ^^2 to be solvable, where
a,b,c are odd natural numbers having a prescribed number of prime divisors and do not exceed x.
This work was motivated by a question raised in a recent paper of Nick Rome and Efthymios Sofos.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A