{
  "id": "1204.0877",
  "version": "v2",
  "published": "2012-04-04T07:06:17.000Z",
  "updated": "2013-02-13T07:12:08.000Z",
  "title": "The sum of the r'th roots of first n natural numbers and new formula for factorial",
  "authors": [
    "Snehal Shekatkar"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Using the simple properties of Riemman integrable functions, Ramanujan's formula for sum of the square roots of first n natural numbers has been generalized to include r'th roots where r is any real number greater than 1.As an application we derive formula that gives factorial of positive integer $n$ similar to Stirling's formula.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-13T07:12:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "natural numbers",
      "rth roots",
      "real number greater",
      "stirlings formula",
      "riemman integrable functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.0877S"
    }
  }
}