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Speaker:

Peter Koymans
Affiliation:

MPIM
Date:

Wed, 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 $C_d: x2 - dy 2 = -1$ 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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