{
  "id": "1302.6664",
  "version": "v2",
  "published": "2013-02-27T05:11:49.000Z",
  "updated": "2016-05-30T22:38:08.000Z",
  "title": "New Restriction Estimates for the 3-d Paraboloid over Finite Fields",
  "authors": [
    "Mark Lewko"
  ],
  "comment": "19 pages, published version",
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "abstract": "We improve the range of exponents for the restriction problem for the 3-d paraboloid over finite fields. The key new ingredient is a variant of the Bourgain-Katz-Tao finite field incidence theorem derived from sum-product estimates. In prime order fields, we give an explicit relationship between the exponent in this incidence theorem and restriction estimates for the paraboloid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-27T05:11:49.000Z",
      "comment": "19 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-05-30T22:38:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "restriction estimates",
      "paraboloid",
      "bourgain-katz-tao finite field incidence theorem",
      "prime order fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.6664L"
    }
  }
}