{
  "id": "1511.09018",
  "version": "v1",
  "published": "2015-11-29T14:35:36.000Z",
  "updated": "2015-11-29T14:35:36.000Z",
  "title": "Shimura Lifts of Weakly Holomorphic Modular Forms",
  "authors": [
    "Yingkun Li",
    "Shaul Zemel"
  ],
  "comment": "24 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show how to realize the Shimura lift of arbitrary level and character using the vector-valued theta lifts of Borcherds. Using the regularization of Borcherds' lift we extend the Shimura lift to take weakly holomorphic modular forms of half-integral weight to meromorphic modular forms of even integral weight having poles at CM points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-29T14:35:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F37",
      "11F27"
    ],
    "keywords": [
      "weakly holomorphic modular forms",
      "shimura lift",
      "meromorphic modular forms",
      "arbitrary level",
      "vector-valued theta lifts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151109018L"
    }
  }
}