{
  "id": "1509.01560",
  "version": "v1",
  "published": "2015-09-04T18:47:38.000Z",
  "updated": "2015-09-04T18:47:38.000Z",
  "title": "Diophantine approximation of polynomials over $\\mathbb{F}_q[t]$ satisfying a divisibility condition",
  "authors": [
    "Shuntaro Yamagishi"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $\\mathbb{F}_q[t]$ denote the ring of polynomials over $\\mathbb{F}_q$, the finite field of $q$ elements. We prove an estimate for fractional parts of polynomials over $\\mathbb{F}_q[t]$ satisfying a certain divisibility condition analogous to that of intersective polynomials in the case of integers. We then extend our result to consider linear combinations of such polynomials as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-04T18:47:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diophantine approximation",
      "satisfying",
      "finite field",
      "fractional parts",
      "linear combinations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150901560Y"
    }
  }
}