{
  "id": "math/0412104",
  "version": "v1",
  "published": "2004-12-06T09:01:01.000Z",
  "updated": "2004-12-06T09:01:01.000Z",
  "title": "Examples of Shimura correspondence for level p^2 and real quadratic twists",
  "authors": [
    "Ariel Pacetti",
    "Gonzalo Tornaria"
  ],
  "comment": "21 pages, submitted to \"Elliptic curves and random matrix theory.\"",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give examples of Shimura correspondence for rational modular forms f of weight 2 and level p^2, for primes p<=19, computed as an application of a method we introduced in \\cite{Pacetti-Tornaria}. Furthermore, we verify in this examples a conjectural formula for the central values L(f,-pd,1) and, in case p = 3 (mod 4), a formula for the central values L(f,d,1) corresponding to the real quadratic twists of f.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-06T09:01:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F37",
      "11F67"
    ],
    "keywords": [
      "real quadratic twists",
      "shimura correspondence",
      "central values",
      "rational modular forms",
      "conjectural formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12104P"
    }
  }
}