{
  "id": "1404.5161",
  "version": "v1",
  "published": "2014-04-21T10:21:48.000Z",
  "updated": "2014-04-21T10:21:48.000Z",
  "title": "A Quantitative Result on Diophantine Approximation for Intersective Polynomials",
  "authors": [
    "Neil Lyall",
    "Alex Rice"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT",
    "math.CA",
    "math.CO"
  ],
  "abstract": "In this short note, we closely follow the approach of Green and Tao to extend the best known bound for recurrence modulo 1 from squares to the largest possible class of polynomials. The paper concludes with a brief discussion of a consequence of this result for polynomials structures in sumsets and limitations of the method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-21T10:21:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diophantine approximation",
      "intersective polynomials",
      "quantitative result",
      "short note",
      "recurrence modulo"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.5161L"
    }
  }
}