{
  "id": "2305.15493",
  "version": "v1",
  "published": "2023-05-24T18:32:08.000Z",
  "updated": "2023-05-24T18:32:08.000Z",
  "title": "Square-free values of random polynomials",
  "authors": [
    "Tim Browning",
    "Igor Shparlinski"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The question of whether or not a given integral polynomial takes infinitely many square-free values has only been addressed unconditionally for polynomials of degree at most 3. We address this question, on average, for polynomials of arbitrary degree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-24T18:32:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N32",
      "11D79"
    ],
    "keywords": [
      "square-free values",
      "random polynomials",
      "arbitrary degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}