{
  "id": "0803.3788",
  "version": "v1",
  "published": "2008-03-26T18:41:35.000Z",
  "updated": "2008-03-26T18:41:35.000Z",
  "title": "Hilbert modular forms of weight 1/2 and theta functions",
  "authors": [
    "Sever Achimescu",
    "Abhishek Saha"
  ],
  "comment": "23 pages",
  "journal": "Journal of Number Theory, Volume 128, Issue 12, December 2008, Pages 3037-3062",
  "doi": "10.1016/j.jnt.2008.04.001",
  "categories": [
    "math.NT"
  ],
  "abstract": "Serre and Stark found a basis for the space of modular forms of weight 1/2 in terms of theta series. In this paper, we generalize their result - under certain mild restrictions on the level and character - to the case of weight 1/2 Hilbert modular forms over a totally real field of narrow class number 1. The methods broadly follow those of Serre-Stark; however we are forced to overcome technical difficulties which arise when we move out of Q.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-26T18:41:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F27",
      "11F37",
      "11F41"
    ],
    "keywords": [
      "hilbert modular forms",
      "theta functions",
      "narrow class number",
      "overcome technical difficulties",
      "totally real field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3788A"
    }
  }
}