{
  "id": "1609.06481",
  "version": "v1",
  "published": "2016-09-21T09:56:41.000Z",
  "updated": "2016-09-21T09:56:41.000Z",
  "title": "Newforms of half-integral weight: the minus space counterpart",
  "authors": [
    "Ehud Moshe Baruch",
    "Soma Purkait"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We define a subspace of the space of holomorphic modular forms of weight $k+1/2$ and level $4M$ where $M$ is odd and square-free. We show that this subspace is isomorphic under the Shimura-Niwa correspondence to the space of newforms of weight $2k$ and level $2M$ and that this is a Hecke isomorphism. The space we define is a proper subspace of the orthogonal complement of the Kohnen plus space if the Kohnen plus space is nonzero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-21T09:56:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F37",
      "11F12",
      "11F70"
    ],
    "keywords": [
      "minus space counterpart",
      "half-integral weight",
      "kohnen plus space",
      "holomorphic modular forms",
      "shimura-niwa correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}