{
  "id": "1309.6389",
  "version": "v1",
  "published": "2013-09-25T03:13:27.000Z",
  "updated": "2013-09-25T03:13:27.000Z",
  "title": "On a bound of Heath-Brown for Dirichlet $L$-functions on the critical line",
  "authors": [
    "Bryce Kerr"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $\\chi$ a primitive character$\\pmod q$ and consider the Dirichlet $L$-function $$L(s,\\chi)=\\sum_{n=1}^{\\infty}\\frac{\\chi(n)}{n^s}.$$ We give a new proof of an upper bound of Heath-Brown for $|L(s,\\chi)|$ on the critical line $s=1/2+it$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-25T03:13:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical line",
      "heath-brown",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.6389K"
    }
  }
}