{
  "id": "1810.12990",
  "version": "v1",
  "published": "2018-10-30T20:14:13.000Z",
  "updated": "2018-10-30T20:14:13.000Z",
  "title": "Irreducible quadratic polynomials and Euler's function",
  "authors": [
    "Noah Lebowitz-Lockard"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $P(x)$ be an irreducible quadratic polynomial in $\\mathbb{Z}[x]$. We show that for almost all $n$, $P(n)$ does not lie in the range of Euler's totient function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-30T20:14:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37"
    ],
    "keywords": [
      "irreducible quadratic polynomial",
      "eulers function",
      "eulers totient function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}