{
  "id": "1206.2435",
  "version": "v3",
  "published": "2012-06-12T04:06:10.000Z",
  "updated": "2012-11-05T22:42:35.000Z",
  "title": "Ramanujan's {_1ψ_1} summation",
  "authors": [
    "S. Ole Warnaar"
  ],
  "comment": "This paper is part of a series of short articles on Ramanujan's mathematics to appear in the Notices of the AMS in commemoration of Ramanujan's 125th birthday; Final updated and corrected version as will appear in the Notices",
  "journal": "Notices of the AMS, 60, Number 1 (2013), 18-22",
  "categories": [
    "math.CO",
    "math.NT",
    "math.QA"
  ],
  "abstract": "This paper gives a short but reasonably comprehensive review of Ramanujan's {_1\\psi_1} summation and its generalisations. It covers the history of Ramanujan's summation, simple applications to sums of squares and orthogonal polynomials, non-commutative generalisations, and generalisations to affine root systems.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-11-05T22:42:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine root systems",
      "ramanujans summation",
      "simple applications",
      "orthogonal polynomials",
      "reasonably comprehensive review"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Notices Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.2435W"
    }
  }
}