{
  "id": "1401.7530",
  "version": "v1",
  "published": "2014-01-29T15:04:10.000Z",
  "updated": "2014-01-29T15:04:10.000Z",
  "title": "Beta-expansions of $p$-adic numbers",
  "authors": [
    "Klaus Scheicher",
    "Victor F. Sirvent",
    "Paul Surer"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In the present article, we introduce beta-expansions in the ring $\\mathbb{Z}_p$ of $p$-adic integers. We characterise the sets of numbers with eventually periodic and finite expansions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-29T15:04:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adic numbers",
      "beta-expansions",
      "adic integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.7530S"
    }
  }
}