{
  "id": "1405.7597",
  "version": "v2",
  "published": "2014-05-29T15:58:02.000Z",
  "updated": "2014-06-21T09:37:06.000Z",
  "title": "Exponential and infinitary divisors",
  "authors": [
    "Andrew V. Lelechenko"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Our paper is devoted to several problems from the field of modified divisors: namely exponential and infinitary divisors. We study the behaviour of modified divisors, sum-of-divisors and totient functions. Main results concern with the asymptotic behaviour of mean values and explicit estimates of extremal orders.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-21T09:37:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25",
      "11N37",
      "11N56"
    ],
    "keywords": [
      "infinitary divisors",
      "exponential",
      "modified divisors",
      "totient functions",
      "asymptotic behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.7597L"
    }
  }
}