{
  "id": "2102.12964",
  "version": "v1",
  "published": "2021-02-25T16:11:31.000Z",
  "updated": "2021-02-25T16:11:31.000Z",
  "title": "The Bloch-Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms",
  "authors": [
    "Jan-Willem M. van Ittersum"
  ],
  "comment": "49 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "There are many families of functions on partitions, such as the shifted symmetric functions, for which the corresponding q-brackets are quasimodular forms. We extend these families so that the corresponding q-brackets are quasimodular for a congruence subgroup. Moreover, we find subspaces of these families for which the q-bracket is a modular form. These results follow from the properties of Taylor coefficients of strictly meromorphic quasi-Jacobi forms around rational lattice points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-25T16:11:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "congruence subgroup",
      "taylor coefficients",
      "bloch-okounkov theorem",
      "corresponding q-brackets",
      "strictly meromorphic quasi-jacobi forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}