{ "id": "1105.1313", "version": "v1", "published": "2011-05-06T15:50:53.000Z", "updated": "2011-05-06T15:50:53.000Z", "title": "Sets with more differences than sums", "authors": [ "Jan-Christoph Schlage-Puchta" ], "journal": "Arch. Math. (Basel) 93 (2009), no. 2, 139-142", "doi": "10.1007/s00013-009-0014-7", "categories": [ "math.NT" ], "abstract": "We show that a random set of integers with density 0 has almost always more differences than sums. This proves a conjecture by Martin and O'Bryant.", "revisions": [ { "version": "v1", "updated": "2011-05-06T15:50:53.000Z" } ], "analyses": { "subjects": [ "11P70" ], "keywords": [ "differences", "random set" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.1313S" } } }