On Infinite Sum-free Sets of Natural Num
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Tomasz łuczak; Tomasz Schoen
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Article
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1997
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Elsevier Science
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English
⚖ 346 KB
A subset of the natural numbers is k-sum-free if it contains no solutions of the equation x 1 + } } } +x k = y, and strongly k-sum-free when it is l-sum-free for every l=2, ..., k. It is shown that every k-sum-free set with upper density larger than 1Â(k+1) is a subset of a periodic k-sum-free set a