{
  "id": "1307.2802",
  "version": "v1",
  "published": "2013-07-10T14:30:30.000Z",
  "updated": "2013-07-10T14:30:30.000Z",
  "title": "Power-Free Values of Polynomials",
  "authors": [
    "Thomas Reuss"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let f be an irreducible polynomial of degree d>=3 with no fixed prime divisor. We derive an asymptotic formula for the number of primes p<x such that f(p) is (d-1)-free.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-10T14:30:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "power-free values",
      "fixed prime divisor",
      "asymptotic formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.2802R"
    }
  }
}