The Cameron-Erdos Conjecture

Mathematics – Number Theory

Scientific paper

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11 pages, to appear in Bull. London Math. Soc

Scientific paper

A set A of integers is said to be sum-free if there are no solutions to the
equation x + y = z with x,y and z all in A. Answering a question of Cameron and
Erdos, we show that the number of sum-free subsets of {1,...,N} is O(2^(N/2)).

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