{
  "id": "1909.01928",
  "version": "v1",
  "published": "2019-09-04T16:25:12.000Z",
  "updated": "2019-09-04T16:25:12.000Z",
  "title": "Inhomogeneous Diophantine approximation over fields of formal power series",
  "authors": [
    "Yann Bugeaud",
    "L. Singhal",
    "Zhenliang Zhang"
  ],
  "comment": "22 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a sharp analogue of Minkowski's inhomogeneous approximation theorem over fields of power series $\\mathbb{F}_q((T^{-1}))$. Furthermore, we study the approximation to a given point $\\underline{y}$ in $\\mathbb{F}_q((T^{-1}))^2$ by the $SL_2(\\mathbb{F}_q[T])$-orbit of a given point $\\underline{x}$ in $\\mathbb{F}_q((T^{-1}))^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-04T16:25:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J20",
      "11J61",
      "11J70"
    ],
    "keywords": [
      "formal power series",
      "inhomogeneous diophantine approximation",
      "minkowskis inhomogeneous approximation theorem",
      "sharp analogue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}