Sets of integers with no large sum-free subset

• Autores: Sean Eberhard, Benjamin Green, Freddie Manners
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 180, Nº 2, 2014, págs. 621-652
• Idioma: inglés
• DOI: 10.4007/annals.2014.180.2.5
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• Resumen

  • Answering a question of P. Erdos from 1965, we show that for every e>0 there is a set A of n integers with the following property: every set A ' ?A with at least (1 3 +e)n elements contains three distinct elements x,y,z with x+y=z .