{
  "id": "2304.04863",
  "version": "v1",
  "published": "2023-04-10T21:00:39.000Z",
  "updated": "2023-04-10T21:00:39.000Z",
  "title": "Bounds for the periods of eigenfunctions on arithmetic hyperbolic 3-manifolds over surfaces",
  "authors": [
    "Jiaqi Hou"
  ],
  "categories": [
    "math.NT",
    "math.AP"
  ],
  "abstract": "Let $\\psi$ be a Hecke-Maass form on a compact congruence arithmetic hyperbolic 3-manifold $X$, and let $Y$ be a hyperbolic surface in $X$ that is not necessarily closed. We obtain a power saving result over the local bound for the period of $\\psi$ along $Y$, by applying the method of arithmetic amplification developed by Iwaniec and Sarnak.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-10T21:00:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J51",
      "11F03"
    ],
    "keywords": [
      "eigenfunctions",
      "compact congruence arithmetic hyperbolic",
      "hyperbolic surface",
      "local bound",
      "arithmetic amplification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}