{
  "id": "2310.01658",
  "version": "v1",
  "published": "2023-10-02T21:43:13.000Z",
  "updated": "2023-10-02T21:43:13.000Z",
  "title": "Some Equations Involving the Gamma Function",
  "authors": [
    "Sebastian Eterović",
    "Adele Padgett"
  ],
  "comment": "22 pages, 2 figures",
  "categories": [
    "math.NT",
    "math.CV",
    "math.LO"
  ],
  "abstract": "Let $V\\subseteq\\mathbb{C}^{2n}$ be an algebraic variety with no constant coordinates and with a dominant projection onto the first $n$ coordinates. We show that the intersection of $V$ with the graph of the $\\Gamma$ function is Zariski dense in $V$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-02T21:43:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C15",
      "33B15",
      "30D35",
      "32A60"
    ],
    "keywords": [
      "gamma function",
      "zariski dense",
      "algebraic variety",
      "dominant projection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}