{
  "id": "2409.02970",
  "version": "v1",
  "published": "2024-09-04T08:16:43.000Z",
  "updated": "2024-09-04T08:16:43.000Z",
  "title": "Central Limit Theorem for Diophantine approximation on spheres",
  "authors": [
    "Zouhair Ouaggag"
  ],
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We prove a Central Limit Theorem and an effective estimate for the counting function of Diophantine approximants on the sphere S$^n$ using homogeneous dynamics on the space of orthogonal lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-04T08:16:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "central limit theorem",
      "diophantine approximation",
      "diophantine approximants",
      "orthogonal lattices",
      "effective estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}