{
  "id": "0809.1640",
  "version": "v3",
  "published": "2008-09-09T19:44:07.000Z",
  "updated": "2009-06-10T23:30:07.000Z",
  "title": "Sieving for mass equidistribution",
  "authors": [
    "Roman Holowinsky"
  ],
  "comment": "Revised version",
  "categories": [
    "math.NT"
  ],
  "abstract": "We approach the holomorphic analogue to the Quantum Unique Ergodicity conjecture through an application of the Large Sieve. We deal with shifted convolution sums as in ([Ho], arXiv:0809.1669), with various simplifications in our analysis due to the knowledge of the Ramanujan-Petersson conjecture in this holomorphic case.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-06-10T23:30:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mass equidistribution",
      "quantum unique ergodicity conjecture",
      "holomorphic analogue",
      "large sieve",
      "shifted convolution sums"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.1640H"
    }
  }
}