{
  "id": "1208.0968",
  "version": "v2",
  "published": "2012-08-04T23:54:54.000Z",
  "updated": "2012-12-30T08:17:03.000Z",
  "title": "Weak Maass-Poincare series and weight 3/2 mock modular forms",
  "authors": [
    "Daeyeol Jeon",
    "Soon-Yi Kang",
    "Chang Heon Kim"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The primary goal of this paper is to construct the basis of the space of weight 3/2 mock modular forms which is an extension of the Borcherd-Zagier basis of weight 3/2 weakly holomorphic modular forms. The shadows of the members of this basis form the Borcherds- Zagier basis of the space of weight 1/2 weakly holomorphic modular forms. For the purpose, we use a weak Maass-Poincar?e Series. The secondary goal is to provide a full computation of the Fourier coe?cients for the weak Maass-Poincar?e Series in most general form as a weak Maass-Poincar?e Series has played a key role in the recent advances in the theory of weak Maass forms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-30T08:17:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F03",
      "11F12",
      "11F30",
      "11F37"
    ],
    "keywords": [
      "mock modular forms",
      "weak maass-poincare series",
      "weakly holomorphic modular forms",
      "weak maass forms",
      "primary goal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.0968J"
    }
  }
}