{
  "id": "math/0310005",
  "version": "v1",
  "published": "2003-10-01T02:57:57.000Z",
  "updated": "2003-10-01T02:57:57.000Z",
  "title": "Quantum integers and cyclotomy",
  "authors": [
    "Alexander Borisov",
    "Yang Wang",
    "Melvyn B. Nathanson"
  ],
  "comment": "11 pages; LaTex",
  "categories": [
    "math.NT",
    "math.QA"
  ],
  "abstract": "A sequence of functions {f_n(q)}_{n=1}^{\\infty} satisfies the functional equation for multiplication of quantum integers if f_{mn}(q) = f_m(q)f_n(q^m) for all positive integers m and n. This paper describes the structure of all sequences of rational functions with rational coefficients that satisfy this functional equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-01T02:57:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B05",
      "81R50",
      "11R18",
      "11T22",
      "11B13"
    ],
    "keywords": [
      "quantum integers",
      "functional equation",
      "rational coefficients",
      "rational functions"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10005B"
    }
  }
}