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arXiv · 1301.4579

Sets of integers with no large sum-free subset

Sean Eberhard·Ben Green·Freddie Manners
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Abstract

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

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Sean Eberhard, Ben Green, Freddie Manners. 2026-07-29. Sets of integers with no large sum-free subset. https://doi.org/10.4007/annals.2014.180.2.5

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