{
  "id": "2210.09862",
  "version": "v1",
  "published": "2022-10-18T13:50:15.000Z",
  "updated": "2022-10-18T13:50:15.000Z",
  "title": "Continuants and convergence of certain continued fractions",
  "authors": [
    "Daniel Duverney",
    "Iekata Shiokawa"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a concise introduction to the theory of continuants and show how Perron used them in his proof of Tietze theorem on the convergence of infinite semi-regular continued fractions, as well as for the study of the convergence of purely periodic continued fractions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-18T13:50:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A55",
      "15A69"
    ],
    "keywords": [
      "convergence",
      "continuants",
      "infinite semi-regular continued fractions",
      "concise introduction",
      "purely periodic continued fractions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}