{
  "id": "1308.3853",
  "version": "v2",
  "published": "2013-08-18T12:29:27.000Z",
  "updated": "2016-09-12T15:29:14.000Z",
  "title": "A generalization of Frieman's 3k-3 theorem",
  "authors": [
    "Shanshan Du",
    "Hao Pan"
  ],
  "comment": "Seemingly the main result of this paper is not strong in most cases",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We prove a generalization of Frieman's $3k-3$ theorem for the sumset $$ \\Sigma^{l}(A_1,\\ldots,A_k)=\\{a_{j_{1}}+\\cdots+a_{j_{l}}:\\,1\\leq j_{1}<\\cdots<j_{l}\\leq k,\\ a_{j_{s}}\\in A_{j_{s}}\\text{ for all }s\\}. $$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-18T12:29:27.000Z",
      "comment": "This is a preliminary draft",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-09-12T15:29:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.3853D"
    }
  }
}