Geodesic
The Erdős–Moser Sum-free Set Problem
Canadian journal of mathematics, Tome 73 (2021) no. 1, pp. 63-107

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DOI

We show that there is an absolute $c>0$ such that if $A$ is a finite set of integers, then there is a set $S\subset A$ of size at least $\log ^{1+c}|A|$ such that the restricted sumset $\{s+s^{\prime }:s,s^{\prime }\in S\text{ and }s\neq s^{\prime }\}$ is disjoint from $A$. (The logarithm here is to base $3$.)
DOI : 10.4153/S0008414X1900049X
Mots-clés : sum-free, summing, Freiman’s theorem, additive energy, hereditarily energetic 
Sanders, Tom. The Erdős–Moser Sum-free Set Problem. Canadian journal of mathematics, Tome 73 (2021) no. 1, pp. 63-107. doi: 10.4153/S0008414X1900049X
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     title = {The {Erd\H{o}s{\textendash}Moser} {Sum-free} {Set} {Problem}},
     journal = {Canadian journal of mathematics},
     pages = {63--107},
     year = {2021},
     volume = {73},
     number = {1},
     doi = {10.4153/S0008414X1900049X},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X1900049X/}
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