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Online: The negative Pell equation, governing fields and beyond

Posted in
Peter Koymans
Mit, 2020-09-16 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).


The equation $C_d: x^2 - dy^2 = -1$ is known as the negative Pell equation. It is an outstanding problem to give an asymptotic for the number of squarefree integers $d$ for which $C_d$ is soluble in integers $x$ and $y$. In this talk I will discuss some recent progress towards this problem. Parts of this talk are joint work with Stephanie Chan, Djorjdo Milovic and Carlo Pagano.


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