{
  "id": "2002.01076",
  "version": "v1",
  "published": "2020-02-04T01:18:47.000Z",
  "updated": "2020-02-04T01:18:47.000Z",
  "title": "Möbius disjointness for $C^{1 + \\varepsilon}$ skew products",
  "authors": [
    "Alexandre de Faveri"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "We show that for $\\varepsilon > 0$, every $C^{1 + \\varepsilon}$ skew product on $\\mathbb{T}^2$ over a rotation of $\\mathbb{T}^1$ satisfies Sarnak's conjecture. This is an improvement of earlier results of Kulaga-Przymus-Lema\\'nczyk, Huang-Wang-Ye and Kanigowski-Lema\\'nczyk-Radziwill.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-04T01:18:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A45",
      "11J70"
    ],
    "keywords": [
      "skew product",
      "möbius disjointness",
      "satisfies sarnaks conjecture",
      "earlier results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}