{ "id": "1804.03356", "version": "v2", "published": "2018-04-10T06:26:13.000Z", "updated": "2018-05-20T06:19:39.000Z", "title": "The Erdos-Moser sum-free set problem", "authors": [ "Tom Sanders" ], "comment": "43 pages. Expanded discussion in section 2. Fixed some typos", "categories": [ "math.CA", "math.CO" ], "abstract": "We show that if A is a finite set of integers then it has a subset S of size \\log^{1+c} |A| (c>0 absolute) such that s+s' is never in A when s and s' are distinct elements of S.", "revisions": [ { "version": "v2", "updated": "2018-05-20T06:19:39.000Z" } ], "analyses": { "keywords": [ "erdos-moser sum-free set problem", "finite set", "distinct elements" ], "note": { "typesetting": "TeX", "pages": 43, "language": "en", "license": "arXiv", "status": "editable" } } }