{
  "id": "2012.15659",
  "version": "v1",
  "published": "2020-12-31T15:33:26.000Z",
  "updated": "2020-12-31T15:33:26.000Z",
  "title": "Growth of Fourier Coefficients of vector-valued automorphic forms",
  "authors": [
    "Jitendra Bajpai",
    "Subham Bhakta",
    "Renan Finder"
  ],
  "comment": "26 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we establish polynomial-growth bound for the sequence of Fourier coefficients associated to even integer weight vector-valued automorphic forms of Fuchsian groups of the first kind. At the end, their $L$-functions and exponential sums have been discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-31T15:33:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier coefficients",
      "integer weight vector-valued automorphic forms",
      "exponential sums",
      "first kind",
      "establish polynomial-growth bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}