{
  "id": "1307.1997",
  "version": "v2",
  "published": "2013-07-08T09:24:10.000Z",
  "updated": "2020-08-10T22:24:34.000Z",
  "title": "On Quasi-Modular Forms, Almost Holomorphic Modular Forms, and the Vector-Valued Modular Forms of Shimura",
  "authors": [
    "Shaul Zemel"
  ],
  "comment": "17 pages, minor corrections",
  "journal": "Ramanujan J. 37 (2015) 165--180",
  "doi": "10.1007/s11139-014-9602-7",
  "categories": [
    "math.NT"
  ],
  "abstract": "We extend the relation between quasi-modular forms and modular forms to a wider class of functions. We then relate both forms to vector-valued modular forms with symmetric power representations, and prove a general structure theorem for these vector-valued forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-08T09:24:10.000Z",
      "comment": "16 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2020-08-10T22:24:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F12",
      "11F32",
      "11F99"
    ],
    "keywords": [
      "vector-valued modular forms",
      "holomorphic modular forms",
      "quasi-modular forms",
      "symmetric power representations",
      "general structure theorem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1997Z"
    }
  }
}