{
  "id": "1310.2715",
  "version": "v1",
  "published": "2013-10-10T06:37:43.000Z",
  "updated": "2013-10-10T06:37:43.000Z",
  "title": "On the asymptotic formula of L'(1, χ)",
  "authors": [
    "Luhao Yan"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $\\chi$ be a quadratic Dirichlet character. In some literatures, various asymptotic formulae of $L'(1,\\chi)$, under the assumption that $L(1,\\chi)$ takes a small value, were derived. In this paper, we will give a new treatment unified for the odd and even cases, not depending on Kronecker limit formula. For imaginary quadratic fields, our result coincides with Proposition 22.10 in [1].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-10T06:37:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic formula",
      "kronecker limit formula",
      "quadratic dirichlet character",
      "imaginary quadratic fields",
      "small value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.2715Y"
    }
  }
}