{
  "id": "1403.2957",
  "version": "v3",
  "published": "2014-03-12T14:47:42.000Z",
  "updated": "2014-12-01T14:48:34.000Z",
  "title": "The Green-Tao theorem: an exposition",
  "authors": [
    "David Conlon",
    "Jacob Fox",
    "Yufei Zhao"
  ],
  "comment": "26 pages, 4 figures",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "The celebrated Green-Tao theorem states that the prime numbers contain arbitrarily long arithmetic progressions. We give an exposition of the proof, incorporating several simplifications that have been discovered since the original paper.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-28T14:04:26.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-12-01T14:48:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05-02",
      "11-02",
      "11B30",
      "11B25",
      "11A41"
    ],
    "keywords": [
      "exposition",
      "prime numbers contain arbitrarily long",
      "contain arbitrarily long arithmetic progressions",
      "numbers contain arbitrarily long arithmetic",
      "celebrated green-tao theorem states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.2957C"
    }
  }
}