{
  "id": "1806.03642",
  "version": "v1",
  "published": "2018-06-10T12:15:42.000Z",
  "updated": "2018-06-10T12:15:42.000Z",
  "title": "Petersson scalar products and L-functions arising from modular forms",
  "authors": [
    "Shigeaki Tsuyumine"
  ],
  "comment": "41 pages, 2 figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "Analytic continuation and functional equation of a Dirichlet series constructed from two (not necessarily cuspidal) holomorphic modular forms is discussed, where either weights of the modular forms or characters are not necessarily equal to each other. The applications to quadratic forms are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-10T12:15:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F11",
      "11F37"
    ],
    "keywords": [
      "petersson scalar products",
      "l-functions arising",
      "holomorphic modular forms",
      "analytic continuation",
      "dirichlet series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}