{
  "id": "1110.4526",
  "version": "v2",
  "published": "2011-10-20T13:36:57.000Z",
  "updated": "2012-11-24T20:46:09.000Z",
  "title": "Hybrid bounds for automorphic forms on ellipsoids over number fields",
  "authors": [
    "Valentin Blomer",
    "Philippe Michel"
  ],
  "comment": "somewhat expanded version, to appear in J. Inst. Math. Jussieu",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds of arithmetic type. The manifolds under consideration are d-fold products of 2-spheres or 3-spheres, realized as adelic quotients of quaternion algebras over totally real number fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-24T20:46:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "automorphic forms",
      "hybrid bounds",
      "ellipsoids",
      "totally real number fields",
      "d-fold products"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.4526B"
    }
  }
}