{
  "id": "1603.07436",
  "version": "v1",
  "published": "2016-03-24T04:39:11.000Z",
  "updated": "2016-03-24T04:39:11.000Z",
  "title": "On the value-distribution of the difference between logarithms of two symmetric power $L$-functions",
  "authors": [
    "Kohji Matsumoto",
    "Yumiko Umegaki"
  ],
  "comment": "36 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider the value distribution of the difference between logarithms of two symmetric power $L$-functions at $s=\\sigma > 1/2$. We prove that certain averages of those values can be written as integrals involving a density function which is constructed explicitly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-24T04:39:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F66",
      "11M41"
    ],
    "keywords": [
      "symmetric power",
      "logarithms",
      "difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}