{
  "id": "1403.2236",
  "version": "v2",
  "published": "2014-03-10T13:38:15.000Z",
  "updated": "2016-09-22T10:15:12.000Z",
  "title": "On finite sums involving $(q)_n$",
  "authors": [
    "Mohamed El Bachraoui"
  ],
  "comment": "This paper has been withdrawn by the author because the results follow trivially from a well-known identity of Heine",
  "categories": [
    "math.NT"
  ],
  "abstract": "We use an elementary argument to prove some finite sums involving expressions of the forms $(q)_n$ and $(a;q)_n$ along with inductive formulas for some sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-10T13:38:15.000Z",
      "comment": "6 pages, submitted",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-09-22T10:15:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite sums",
      "elementary argument",
      "expressions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.2236E"
    }
  }
}