{
  "id": "1012.0080",
  "version": "v1",
  "published": "2010-12-01T02:03:58.000Z",
  "updated": "2010-12-01T02:03:58.000Z",
  "title": "On common values of $φ(n)$ and $σ(m)$, II",
  "authors": [
    "Kevin Ford",
    "Paul Pollack"
  ],
  "comment": "23 pages",
  "journal": "Algebra and Number Theory 6 (2012), no. 8, 1669-1696",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let phi(n) be Euler's totient function and let sigma(n) be the sum of the positive divisors of n. We show that most phi-values (integers in the range of phi) are not sigma-values and vice versa.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-01T02:03:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37",
      "11A25"
    ],
    "keywords": [
      "common values",
      "eulers totient function",
      "vice versa",
      "positive divisors",
      "phi-values"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.0080F"
    }
  }
}