{
  "id": "1412.3590",
  "version": "v1",
  "published": "2014-12-11T10:15:41.000Z",
  "updated": "2014-12-11T10:15:41.000Z",
  "title": "Upper bounds for integer solutions to a system of two bilinear forms",
  "authors": [
    "Eugen Keil"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that the number of integer solutions for a pair of bilinear equations in at least 2*6 variables has (up to logarithms) the expected upper bound unless there is a structural reason why it is not the case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-11T10:15:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D09",
      "11D72"
    ],
    "keywords": [
      "integer solutions",
      "bilinear forms",
      "bilinear equations",
      "structural reason",
      "logarithms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.3590K"
    }
  }
}