{
  "id": "1909.01852",
  "version": "v1",
  "published": "2019-09-04T14:50:26.000Z",
  "updated": "2019-09-04T14:50:26.000Z",
  "title": "Hecke operators on Hilbert-Siegel theta series",
  "authors": [
    "Dan Fretwell",
    "Lynne Walling"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that average Hilbert-Siegel theta series are eigenforms for these operators, and we explicitly compute the eigenvalues.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-04T14:50:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke operators",
      "average hilbert-siegel theta series",
      "hecke-type operators",
      "eigenvalues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}