{ "id": "1201.0630", "version": "v1", "published": "2012-01-03T13:46:54.000Z", "updated": "2012-01-03T13:46:54.000Z", "title": "Sets with no solutions to $x+y=3z$", "authors": [ "Mate Matolcsi", "Imre Z. Ruzsa" ], "comment": "5 pages", "categories": [ "math.CO" ], "abstract": "This short note gives an upper bound on the measure of sets $A\\subset [0,1]$ such that $x+y=3z$ has no solutions in $A$.", "revisions": [ { "version": "v1", "updated": "2012-01-03T13:46:54.000Z" } ], "analyses": { "keywords": [ "short note", "upper bound" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1201.0630M" } } }