{
  "id": "0710.0399",
  "version": "v1",
  "published": "2007-10-01T22:26:38.000Z",
  "updated": "2007-10-01T22:26:38.000Z",
  "title": "Inhomogeneous Diophantine approximation of some Hurwitzian numbers",
  "authors": [
    "Richard T. Bumby",
    "Mary E. Flahive"
  ],
  "comment": "Diophantine Analysis and Related Fields 2007, Keio University, Japan",
  "doi": "10.1063/1.2841909",
  "categories": [
    "math.NT"
  ],
  "abstract": "We continue the work of Takao Komatsu by considering the inhomogeneous approximation constant L(\\theta,\\phi) for Hurwitzian numbers \\theta, and rationally related \\phi(r \\theta +m)/n in Q(\\theta) +Q. The current work uses a compactness theorem to relate such inhomogeneous constants to the homogeneous approximation constants. Among the new results are: a characterization of such pairs \\theta,\\phi for which L(\\theta,\\phi) is zero; consideration of small values of n^2 L(e^{2/s},\\phi); and the proof of a conjecture of Komatsu.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-01T22:26:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J70",
      "11J06",
      "11H50",
      "02.10.De",
      "02.30.Lt"
    ],
    "keywords": [
      "inhomogeneous diophantine approximation",
      "hurwitzian numbers",
      "inhomogeneous approximation constant",
      "takao komatsu",
      "small values"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008AIPC..976...31B"
    }
  }
}