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Squareful points on hyperplanes

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09

Mar

Squareful points on hyperplanes

In this talk, I will explain how one can determine the asymptotic behaviour of the number of integral points on the hyperplane X_0+ … +X_n=0 for which each coordinate is a squareful number using the classical circle method, given that n>= 4. I will also indicate how this result improves our intuition when considering the problem with only three squareful numbers.

- Variétés rationnelles

Détails :

Orateur / Oratrice : Karl van Valckenborgh
Date : 9 mars 2012
Horaire : 16h00 - 17h00
Lieu : Salle W