{
  "id": "0904.1056",
  "version": "v2",
  "published": "2009-04-07T04:50:54.000Z",
  "updated": "2009-04-08T04:35:25.000Z",
  "title": "Analogues of a transformation formula of Ramanujan",
  "authors": [
    "Atul Dixit"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We derive two new analogues of a transformation formula of Ramanujan involving the Gamma and Riemann zeta functions present in the Lost Notebook. Both involve infinite series consisting of Hurwitz zeta functions and yield modular relations. As a special case of the first formula, we obtain an identity involving polygamma functions given by Andrew P. Guinand and as a limiting case of the second formula, we derive the transformation formula of Ramanujan.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-08T04:35:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M35"
    ],
    "keywords": [
      "transformation formula",
      "riemann zeta functions",
      "yield modular relations",
      "hurwitz zeta functions",
      "polygamma functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.1056D"
    }
  }
}