{
  "id": "1302.5976",
  "version": "v1",
  "published": "2013-02-25T02:10:34.000Z",
  "updated": "2013-02-25T02:10:34.000Z",
  "title": "The distribution of r-free numbers in arithmetic progressions",
  "authors": [
    "Jason Gibson"
  ],
  "comment": "5 pages",
  "journal": "International Journal of Number Theory, Vol. 10, no. 3 (2014)",
  "doi": "10.1142/S1793042113501078",
  "categories": [
    "math.NT"
  ],
  "abstract": "A positive integer n is called r-free if n is not divisible by the r-th power of a prime. Generalizing earlier work of Orr, we provide an upper bound of Bombieri-Vinogradov type for the r-free numbers in arithmetic progressions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-25T02:10:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N25",
      "11N69"
    ],
    "keywords": [
      "arithmetic progressions",
      "r-free numbers",
      "distribution",
      "bombieri-vinogradov type",
      "generalizing earlier work"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.5976G"
    }
  }
}