{
  "id": "1706.05887",
  "version": "v1",
  "published": "2017-06-19T11:38:32.000Z",
  "updated": "2017-06-19T11:38:32.000Z",
  "title": "The existence of $T$-numbers in positive characteristic",
  "authors": [
    "Tomohiro Ooto"
  ],
  "comment": "8 pages, comments are welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we prove that there exist uncountably many $T$-numbers for Laurent series over a finite field in the sense of Mahler's classification.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-19T11:38:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J82",
      "11J61"
    ],
    "keywords": [
      "positive characteristic",
      "laurent series",
      "finite field",
      "mahlers classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}