{
  "id": "1412.6590",
  "version": "v1",
  "published": "2014-12-20T03:21:32.000Z",
  "updated": "2014-12-20T03:21:32.000Z",
  "title": "Lifting from pairs of two elliptic modular forms to Siegel modular forms of half-integral weight of even degree",
  "authors": [
    "Shuichi Hayashida"
  ],
  "comment": "70 pages. arXiv admin note: text overlap with arXiv:1305.1074",
  "categories": [
    "math.NT"
  ],
  "abstract": "The aim of this paper is to show lifts from pairs of two elliptic modular forms to Siegel modular forms of half-integral weight of even degree under the assumption that the constructed Siegel modular form is not identically zero. The key of the proof is to introduce a certain generalization of the Maass relation for Siegel modular forms of half-integral weight of general degree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-20T03:21:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F46",
      "11F37",
      "11F50"
    ],
    "keywords": [
      "elliptic modular forms",
      "half-integral weight",
      "constructed siegel modular form",
      "maass relation",
      "general degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 70,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6590H"
    }
  }
}