{
  "id": "1606.01715",
  "version": "v1",
  "published": "2016-06-06T12:36:02.000Z",
  "updated": "2016-06-06T12:36:02.000Z",
  "title": "On Dirichlet Products Evaluated at Fibonacci Numbers",
  "authors": [
    "Uwe Stroinski"
  ],
  "comment": "22 pages, 1 figure",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this work we discuss Dirichlet products evaluated at Fibonacci numbers. As first applications of the results we get a representation of Fibonacci numbers in terms of Euler's totient function, an upper bound on the number of primitive prime divisors and representations of some related Euler products. Moreover, we sum functions over all primitive divisors of a Fibonacci number and obtain a non--trivial fixed point of this operation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-06T12:36:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B39",
      "11N05"
    ],
    "keywords": [
      "fibonacci number",
      "dirichlet products",
      "eulers totient function",
      "primitive prime divisors",
      "first applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}