Geodesic
Sets of integers with no large sum-free subset
Sean Eberhard1 ; Ben Green1 ; Freddie Manners1
1 Mathematical Institute, University of Oxford, Oxford, United Kingdom
Annals of mathematics, Tome 180 (2014) no. 2, pp. 621-652.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Answering a question of P. Erdős from 1965, we show that for every $\varepsilon> 0$ there is a set $A$ of $n$ integers with the following property: every set $A’ \subset A$ with at least $\left(\frac{1}{3} + \varepsilon\right) n$ elements contains three distinct elements $x,y,z$ with $x + y = z$.
DOI : 10.4007/annals.2014.180.2.5

Sean Eberhard 1 ; Ben Green 1 ; Freddie Manners 1

1 Mathematical Institute, University of Oxford, Oxford, United Kingdom 
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Sean Eberhard; Ben Green; Freddie Manners. Sets of integers with no large sum-free subset. Annals of mathematics, Tome 180 (2014) no. 2, pp. 621-652. doi : 10.4007/annals.2014.180.2.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.2.5/

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