{
  "id": "0706.1497",
  "version": "v1",
  "published": "2007-06-11T15:53:35.000Z",
  "updated": "2007-06-11T15:53:35.000Z",
  "title": "Power-free values, repulsion between points, differing beliefs and the existence of error",
  "authors": [
    "Harald Andres Helfgott"
  ],
  "comment": "8 pages; to appear in CRM conference proceedings",
  "categories": [
    "math.NT",
    "math.PR"
  ],
  "abstract": "Let f be a cubic polynomial. Then there are infinitely many primes p such that f(p) is square-free.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-11T15:53:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D85",
      "11K99",
      "11G05"
    ],
    "keywords": [
      "power-free values",
      "differing beliefs",
      "cubic polynomial"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.1497A"
    }
  }
}