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On Sets of Integers Which Are Both Sum-Free and Product-Free
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-4734-5092
2013 (English)In: Integers: Electronic Journal of Combinatorial Number Theory, ISSN 1553-1732, E-ISSN 1553-1732Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2013.
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Other Mathematics
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URN: urn:nbn:se:kth:diva-136367OAI: oai:DiVA.org:kth-136367DiVA: diva2:675925
Note

QC 20140228

Available from: 2013-12-04 Created: 2013-12-04 Last updated: 2017-12-06Bibliographically approved

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Integers Conference 2011full text in arXiv

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Kurlberg, Par

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