{
  "id": "1602.04245",
  "version": "v1",
  "published": "2016-02-12T22:18:09.000Z",
  "updated": "2016-02-12T22:18:09.000Z",
  "title": "Small fractional parts of polynomials",
  "authors": [
    "Roger Baker"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Using the recent result of Bourgain, Demeter and Guth on Vinogradov's mean value, a number of new results about small fractional parts of polynomials and fractional parts of additive forms are obtained. These improve work of Baker, Cook, Danicic, Vaughan and Wooley.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-12T22:18:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small fractional parts",
      "polynomials",
      "vinogradovs mean value",
      "additive forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160204245B"
    }
  }
}