{
  "id": "1505.00623",
  "version": "v1",
  "published": "2015-05-04T13:21:52.000Z",
  "updated": "2015-05-04T13:21:52.000Z",
  "title": "On the Value Distribution of Two Dirichlet L-functions",
  "authors": [
    "Niko Laaksonen",
    "Yiannis N. Petridis"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We look at the values of two Dirichlet $L$-functions at the Riemann zeros (or a horizontal shift of them). Off the critical line we show that for a positive proportion of these points the pairs of values of the two $L$-functions are linearly independent over $\\mathbb{R}$, which, in particular, means that their arguments are different. On the critical line we show that, up to height $T$, the values are different for $cT$ of the Riemann zeros for some positive $c$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-04T13:21:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26"
    ],
    "keywords": [
      "dirichlet l-functions",
      "value distribution",
      "riemann zeros",
      "critical line",
      "horizontal shift"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}