{
  "id": "2302.12576",
  "version": "v1",
  "published": "2023-02-24T11:00:43.000Z",
  "updated": "2023-02-24T11:00:43.000Z",
  "title": "Non-Vanishing of L-Functions of Vector-Valued Modular Forms",
  "authors": [
    "Subong Lim",
    "Wissam Raji"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show a non-vanishing result for the averages of L-functions associated with the orthogonal basis of the space of cusp forms of vector-valued modular forms on the full group. We also show the existence of at least one basis element whose L-function does not vanish under certain conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-24T11:00:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vector-valued modular forms",
      "l-function",
      "basis element",
      "full group",
      "cusp forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}