The Erdős–Moser Sum-free Set Problem
Abstract 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 $3$ .)
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1970 ◽
Vol 68
(2)
◽
pp. 267-274
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2020 ◽
Vol 28
(5)
◽
pp. 727-738
Keyword(s):
Keyword(s):