{
  "id": "1312.2991",
  "version": "v1",
  "published": "2013-12-10T22:51:40.000Z",
  "updated": "2013-12-10T22:51:40.000Z",
  "title": "Equivariant functions and vector-valued modular forms",
  "authors": [
    "Hicham Saber",
    "Abdellah Sebbar"
  ],
  "comment": "7 pages, Accepted in Int. J. Number Theory",
  "doi": "10.1142/S1793042114500092",
  "categories": [
    "math.NT",
    "hep-th",
    "math.CA"
  ],
  "abstract": "For any discrete group $\\Gamma$ and any 2-dimensional complex representation $\\rho$ of $\\Gamma$, we introduce the notion of $\\rho-$equivariant functions, and we show that they are parameterized by vector-valued modular forms. We also provide examples arising from the monodromy of differential equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-10T22:51:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11",
      "34M03"
    ],
    "keywords": [
      "vector-valued modular forms",
      "equivariant functions",
      "differential equations",
      "discrete group",
      "complex representation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1268844,
      "adsabs": "2013arXiv1312.2991S"
    }
  }
}