{
  "id": "2305.18271",
  "version": "v1",
  "published": "2023-05-29T17:45:32.000Z",
  "updated": "2023-05-29T17:45:32.000Z",
  "title": "An effective version of the Oppenheim conjecture with a polynomial error rate",
  "authors": [
    "Elon Lindenstrauss",
    "Amir Mohammadi",
    "Zhiren Wang",
    "Lei Yang"
  ],
  "comment": "7 pages",
  "categories": [
    "math.DS",
    "math.CA",
    "math.NT"
  ],
  "abstract": "We prove an effective version of the Oppenheim conjecture with a polynomial error rate. The proof is based on an effective equidistribution theorem which in turn relies on recent progress towards restricted projection problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-29T17:45:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomial error rate",
      "oppenheim conjecture",
      "effective version",
      "effective equidistribution theorem",
      "turn relies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}