On Sets of Natural Numbers Whose Sumset
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Tomasz Schoen
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Article
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1999
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Elsevier Science
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English
β 78 KB
Let A be a set of natural numbers such that the set A+A contains no perfect squares. We prove that if the density d(A) exists, it is not larger than 2Γ5. ## 1999 Academic Press In this note we are concerned with a problem of Erdo s and Silverman (see ) who asked about the maximal density d max of