{
  "id": "1909.10507",
  "version": "v1",
  "published": "2019-09-23T17:57:16.000Z",
  "updated": "2019-09-23T17:57:16.000Z",
  "title": "Avoiding a star of three-term arthmetic progressions",
  "authors": [
    "Masato Mimura",
    "Norihide Tokushige"
  ],
  "comment": "6 pages, 2 figures",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We provide an upper bound of the size of a subset A of F_p^n that does not admit a k-star of 3-APs (three-term arithmetic progressions). Namely, the subset A is assumed to contain no configuration of k 3-APs, sharing the middle term, such that all 2k+1 terms are distinct. In the proof, we adapt a new method in the recent work of Sauermann.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-23T17:57:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "three-term arthmetic progressions",
      "three-term arithmetic progressions",
      "upper bound",
      "middle term",
      "configuration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}