{
  "id": "1011.2738",
  "version": "v2",
  "published": "2010-11-11T19:01:30.000Z",
  "updated": "2011-04-20T16:08:37.000Z",
  "title": "An improved sum-product inequality in fields of prime order",
  "authors": [
    "Misha Rudnev"
  ],
  "comment": "I spotted that the existing version was, in fact, not the final one",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "This note improves the best known exponent 1/12 in the prime field sum-product inequality (for small sets) to 1/11, modulo a logarithmic factor.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-20T16:08:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68R05",
      "11B75"
    ],
    "keywords": [
      "prime order",
      "prime field sum-product inequality",
      "small sets",
      "logarithmic factor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.2738R"
    }
  }
}