{
  "id": "1110.4752",
  "version": "v2",
  "published": "2011-10-21T11:05:17.000Z",
  "updated": "2011-11-01T23:51:20.000Z",
  "title": "An improved incidence bound over fields of prime order",
  "authors": [
    "Timothy G. F. Jones"
  ],
  "comment": "10 pages, some typos corrected and a couple of points expanded on in v2",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let P be a set of points and $L$ a set of lines in (F_p)^2, with |P|,|L|\\leq N and N<p. We show that P and L generate no more than C N^(3/2 - 1/806 + o(1)) incidences for some absolute constant C. This improves by an order of magnitude on the previously best-known bound of C N^(3/2 - 1/10678).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-11-01T23:51:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B75"
    ],
    "keywords": [
      "prime order",
      "incidence bound",
      "best-known bound",
      "absolute constant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.4752J"
    }
  }
}