{
  "id": "1909.03294",
  "version": "v1",
  "published": "2019-09-07T16:00:54.000Z",
  "updated": "2019-09-07T16:00:54.000Z",
  "title": "On integer values of generating functions for sequences given by the Pell's equations",
  "authors": [
    "Yuji Tsuno"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "D.S.Hong and P. Pongsriiam gave a necessary and sufficient condition for the generating function for the Fibonacci numbers (resp. the Lucas numbers) to be an integer value, for rational numbers. We show that a similar result to them is obtained for generating functions for sequences given by the Pell's equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-07T16:00:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generating function",
      "pells equations",
      "integer value",
      "sufficient condition",
      "pongsriiam gave"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}