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Time: Friday, March 09, 2012, 16h-17h

Location: salle W

Squareful points on hyperplanes

Karl van Valckenborgh (Leiden)

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.

 

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