{
  "id": "2002.03783",
  "version": "v1",
  "published": "2020-02-10T14:28:02.000Z",
  "updated": "2020-02-10T14:28:02.000Z",
  "title": "An exponential Diophantine equation related to the difference of powers of two Fibonacci numbers",
  "authors": [
    "Zafer Şiar"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we prove that there is no x>=4 such that the difference of x-th powers of two consecutive Fibonacci numbers greater than 0 is a Lucas number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-10T14:28:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential diophantine equation",
      "difference",
      "consecutive fibonacci numbers greater",
      "x-th powers",
      "lucas number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}