{
  "id": "1706.06453",
  "version": "v1",
  "published": "2017-06-20T14:12:35.000Z",
  "updated": "2017-06-20T14:12:35.000Z",
  "title": "Diophantine approximation on lines in \\mathbb{C}^2 with Gaussian prime constraints - enhanced version",
  "authors": [
    "Stephan Baier"
  ],
  "comment": "32 pages. This is a combination of slightly extended versions of my papers arXiv:1609.08745 and arXiv:1612.02622, with the goal to make arXiv:1612.02622 completely self-contained",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study the problem of Diophantine approximation on lines in $\\mathbb{C}^2$ with numerators and denominators restricted to Gaussian primes. To this end, we develop analogs of well-known results on small fractional parts of $p\\gamma$, $p$ running over the primes and $\\gamma$ being a fixed irrational, for Gaussian primes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-20T14:12:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J83",
      "11K60",
      "11L07"
    ],
    "keywords": [
      "gaussian prime constraints",
      "diophantine approximation",
      "enhanced version",
      "small fractional parts",
      "well-known results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}