{
  "id": "1106.3193",
  "version": "v1",
  "published": "2011-06-16T10:41:42.000Z",
  "updated": "2011-06-16T10:41:42.000Z",
  "title": "Quartic Power Series in $\\f_3((t^{-1}))$",
  "authors": [
    "Alain Lasjaunias",
    "Domingo gomez"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We are concerned with power series in 1/T over a finite field of 3 elements $\\F_3$. In a previous article, Alain Lasjaunias investigated the existence of particular power series of elements algebraic over $\\F_3[T]$, having all partial quotients of degree 1 in their continued fraction expansion. Here, we generalize his result and we make a conjecture about the elements with all partial quotients of degree 1, except maybe the first ones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-16T10:41:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J70",
      "11J61",
      "11T55"
    ],
    "keywords": [
      "quartic power series",
      "partial quotients",
      "alain lasjaunias",
      "elements algebraic",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.3193L"
    }
  }
}