{
  "id": "1509.07898",
  "version": "v1",
  "published": "2015-09-25T21:14:04.000Z",
  "updated": "2015-09-25T21:14:04.000Z",
  "title": "Fibonacci and Lucas Numbers Associated with Brocard-Ramanujan Equation",
  "authors": [
    "Prapanpong Pongsriiam"
  ],
  "comment": "draft to be submitted to a journal soon",
  "categories": [
    "math.NT"
  ],
  "abstract": "We solve the diophantine equations of the form $A_{n_1}A_{n_2}\\cdots A_{n_k}\\pm 1 = B_m^2$ where $(A_n)_{n\\geq 0}$ and $(B_m)_{m\\geq 0}$ are either the Fibonacci sequence or Lucas sequence. This extends the recent result of Marques (2011) and Szalay (2012) published in Portugaliae Mathematica.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-25T21:14:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lucas numbers",
      "brocard-ramanujan equation",
      "portugaliae mathematica",
      "diophantine equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907898P"
    }
  }
}