{
  "id": "math/0401358",
  "version": "v1",
  "published": "2004-01-26T17:23:24.000Z",
  "updated": "2004-01-26T17:23:24.000Z",
  "title": "Critical lattices, elliptic curves and their possible dynamics",
  "authors": [
    "Nikolaj Glazunov"
  ],
  "comment": "7 pages, Latex",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We present a combinatorial geometry and dynamical systems framework for the investigation and proof of the Minkowski conjecture about critical determinant of the region $ |x|^p + |y|^p < 1, p > 1. $ The application of the framework may drastically reduce the investigation of sufficiently smooth real functions of many variables. Incidentally, we establish connections between critical lattices, dynamical systems and elliptic curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-01-26T17:23:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elliptic curves",
      "critical lattices",
      "sufficiently smooth real functions",
      "combinatorial geometry",
      "investigation"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......1358G"
    }
  }
}