{
  "id": "1006.0930",
  "version": "v2",
  "published": "2010-06-04T15:56:12.000Z",
  "updated": "2010-10-01T11:44:50.000Z",
  "title": "Non-vanishing of Dirichlet L-functions at the central point",
  "authors": [
    "H. M. Bui"
  ],
  "comment": "19 pages",
  "journal": "Int. J. Number Theory 8 (2012), 1855-1881",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $\\chi$ be a primitive Dirichlet character modulo $q$ and $L(s,\\chi)$ be the Dirichlet L-function associated to $\\chi$. Using a new two-piece mollifier we show that $L(\\tfrac{1}{2},\\chi)\\ne0$ for at least 34% of the characters in the family.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-01T11:44:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26"
    ],
    "keywords": [
      "central point",
      "primitive dirichlet character modulo",
      "two-piece mollifier",
      "non-vanishing"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.0930B"
    }
  }
}