{
  "id": "2101.11819",
  "version": "v1",
  "published": "2021-01-28T05:15:32.000Z",
  "updated": "2021-01-28T05:15:32.000Z",
  "title": "On Drinfeld modular forms of higher rank and quasi-periodic functions",
  "authors": [
    "Yen-Tsung Chen",
    "Oğuz Gezmiş"
  ],
  "comment": "26 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In the present paper, we introduce a special function on the Drinfeld period domain $\\Omega^{r}$ for $r\\geq 2$ which gives the false Eisenstein series of Gekeler when $r=2$. We also study its functional equation and relation with quasi-periodic functions of a Drinfeld module as well as transcendence of its values at CM points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-28T05:15:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F52",
      "11G09"
    ],
    "keywords": [
      "drinfeld modular forms",
      "quasi-periodic functions",
      "higher rank",
      "drinfeld period domain",
      "false eisenstein series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}