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On sets of integers which are both sum-free and product-free

We consider sets of positive integers containing no sum of two elements in the set and also no product of two elements. We show that the upper density of such a set is strictly smaller than 1/2 and that this is best possible. Further, we also find the maximal order for the density of such sets that are also periodic modulo some positive integer.

preprint2012arXivOpen access
Par KurlbergJeffrey C. LagariasCarl Pomerance
math.NT
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Par KurlbergJeffrey C. LagariasCarl Pomerance

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