{
  "id": "math/0509059",
  "version": "v3",
  "published": "2005-09-02T22:38:02.000Z",
  "updated": "2006-03-18T22:29:48.000Z",
  "title": "Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions",
  "authors": [
    "J. Brian Conrey",
    "Atul Pokharel",
    "Michael O. Rubinstein",
    "Mark Watkins"
  ],
  "comment": "16 pages, many figures",
  "categories": [
    "math.NT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We examine the number of vanishings of quadratic twists of the L-function associated to an elliptic curve. Applying a conjecture for the full asymptotics of the moments of critical L-values we obtain a conjecture for the first two terms in the ratio of the number of vanishings of twists sorted according to arithmetic progressions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-03-18T22:29:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "11G40",
      "15A52"
    ],
    "keywords": [
      "elliptic curve l-functions",
      "quadratic twists",
      "secondary terms",
      "vanishings",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9059C"
    }
  }
}