{
  "id": "1812.10725",
  "version": "v1",
  "published": "2018-12-27T14:05:20.000Z",
  "updated": "2018-12-27T14:05:20.000Z",
  "title": "Sums of squares in real quadratic fields and Hilbert modular groups",
  "authors": [
    "Fernando Chamizo",
    "Roberto J. Miatello"
  ],
  "comment": "21 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We use the spectral theory of Hilbert-Maass forms for real quadratic fields to obtain the asymptotics of some sums involving the number of representations as a sum of two squares in the ring of integers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-27T14:05:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F72",
      "11F41",
      "11N45"
    ],
    "keywords": [
      "real quadratic fields",
      "hilbert modular groups",
      "hilbert-maass forms",
      "spectral theory",
      "asymptotics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}