{
  "id": "1601.05491",
  "version": "v1",
  "published": "2016-01-21T01:56:26.000Z",
  "updated": "2016-01-21T01:56:26.000Z",
  "title": "Pell's equation and series expansions for irrational numbers",
  "authors": [
    "Chuanan Wei"
  ],
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Solutions of Pell's equation and hypergeometric series identities are used to study series expansions for $\\sqrt{p}$ where $p$ are arbitrary prime numbers. Numerous fast convergent series expansions for this family of irrational numbers are established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-21T01:56:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irrational numbers",
      "pells equation",
      "numerous fast convergent series expansions",
      "hypergeometric series identities",
      "study series expansions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160105491W"
    }
  }
}