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

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Maria Matthis, Melvin Weiß, Adriaan de Clercq
Wed, 2019-08-28 16:30 - 17:30
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.

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