{ "id": "0905.1991", "version": "v2", "published": "2009-05-13T18:58:48.000Z", "updated": "2009-05-16T02:46:49.000Z", "title": "A sum-division estimate of reals", "authors": [ "Liangpan Li", "Jian Shen" ], "categories": [ "math.NT", "math.CO" ], "abstract": "Let $A$ be a finite set of positive real numbers. We present a sum-division estimate: |A+A|^2|A/A|\\geq\\frac{|A|^4}{4}.", "revisions": [ { "version": "v2", "updated": "2009-05-16T02:46:49.000Z" } ], "analyses": { "subjects": [ "11B75" ], "keywords": [ "sum-division estimate", "finite set", "positive real numbers" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0905.1991L" } } }