{
  "id": "1612.07416",
  "version": "v1",
  "published": "2016-12-22T02:27:31.000Z",
  "updated": "2016-12-22T02:27:31.000Z",
  "title": "Value distribution theory of $q$-differences in several complex variables",
  "authors": [
    "Tingbin Cao",
    "Risto Korhonen"
  ],
  "comment": "30 pages",
  "categories": [
    "math.CV"
  ],
  "abstract": "In this paper, $q$-difference analogues of several central results in value distribution theory of several complex variables are obtained. The main result is the $q$-difference second main theorem for hypersurfaces. In addition, $q$-difference versions of the logarithmic derivative lemma, the second main theorem for hyperplanes, Picard's theorem, and the Tumura-Clunie theorem, are included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-22T02:27:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H30",
      "30D35"
    ],
    "keywords": [
      "value distribution theory",
      "complex variables",
      "difference second main theorem",
      "difference versions",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}