{
  "id": "2212.10979",
  "version": "v1",
  "published": "2022-12-21T12:34:30.000Z",
  "updated": "2022-12-21T12:34:30.000Z",
  "title": "On Gosper-Karaji algebraic Identities",
  "authors": [
    "Hossein Teimoori Faal"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we first quickly review the basics of an algebro-geometric method of Karaji's L-summing technique in today's modern language of algebra. Then, we also review the theory of Gosper's algorithm as a decision procedure for obtaining the indefinite sums involving hypergeometric terms. Then, we show that how one can use Gosper's algorithm equipped with the L-summing method to obtain a class of combinatorial identities associated with a given algebraic identity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-21T12:34:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic identity",
      "gosper-karaji algebraic identities",
      "gospers algorithm",
      "combinatorial identities",
      "karajis l-summing technique"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}