{
  "id": "1710.03596",
  "version": "v1",
  "published": "2017-10-10T13:51:02.000Z",
  "updated": "2017-10-10T13:51:02.000Z",
  "title": "Metrical results on the distribution of fractional parts of powers of real numbers",
  "authors": [
    "Yann Bugeaud",
    "Lingmin Liao",
    "Michal Rams"
  ],
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "Denote by {$\\times$} the fractional part. We establish several new metrical results on the distribution properties of the sequence ({x n }) n$\\ge$1. Many of them are presented in a more general framework, in which the sequence of functions (x $\\rightarrow$ x n) n$\\ge$1 is replaced by a sequence (fn) n$\\ge$1 , under some growth and regularity conditions on the functions fn.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-10T13:51:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional part",
      "metrical results",
      "real numbers",
      "functions fn",
      "regularity conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}