{
  "id": "0707.3276",
  "version": "v5",
  "published": "2007-07-22T17:37:25.000Z",
  "updated": "2008-09-06T18:18:16.000Z",
  "title": "Functional Equation for Theta Series",
  "authors": [
    "Jae-Hyun Yang"
  ],
  "comment": "Added the detailed proof ; added 4 more references ; Removal of Remark 2.3",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this short paper, we find the transformation formula for the theta series under the action of the Jacobi modular group on the Siegel-Jacobi space. This formula generalizes the formula (5.1) obtained by Mumford in his book[p.189, Tata Lectures on Theta I (1983), Birkhauser].",
  "revisions": [
    {
      "version": "v5",
      "updated": "2008-09-06T18:18:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F27",
      "11F37",
      "11F50"
    ],
    "keywords": [
      "theta series",
      "functional equation",
      "jacobi modular group",
      "transformation formula",
      "short paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.3276Y"
    }
  }
}