{
  "id": "2009.08230",
  "version": "v1",
  "published": "2020-09-17T12:21:25.000Z",
  "updated": "2020-09-17T12:21:25.000Z",
  "title": "Siegel theta series for indefinite quadratic forms",
  "authors": [
    "Christina Roehrig"
  ],
  "comment": "22 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The modular transformation behavior of theta series for indefinite quadratic forms is well understood in the case of elliptic modular forms due to Vign\\'eras, who deduced that solving a differential equation of second order serves as a criterion for modularity. In this paper we will give a generalization of this result for Siegel theta series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-17T12:21:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F46",
      "11F27",
      "11F37"
    ],
    "keywords": [
      "indefinite quadratic forms",
      "siegel theta series",
      "modular transformation behavior",
      "elliptic modular forms",
      "second order serves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}