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arXiv · 2207.14210

On the largest sum-free subset problem in the integers

George Shakan
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Abstract

Let $A \subset \mathbb{Z}_{>0}$ of size $n$. It is conjectured that for any $C >0$ and $n$ large enough that $A$ contains a sum-free subset of size at least $n/3 +C$. We study this problem and find an alternate proof of Bourgain's result that one make take $C=2/3$.

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George Shakan. 2022-07-28. On the largest sum-free subset problem in the integers. https://arxiv.org/abs/2207.14210

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