{
  "id": "1808.05749",
  "version": "v1",
  "published": "2018-08-17T05:02:37.000Z",
  "updated": "2018-08-17T05:02:37.000Z",
  "title": "On the value-distribution of symmetric power L-functions",
  "authors": [
    "Kohji Matsumoto",
    "Yumiko Umegaki"
  ],
  "comment": "20pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We first briefly survey the value-distribution theory of L-functions of the Bohr-Jessen flavor (or the theory of \"M-functions\"). Limit formulas for the Riemann zeta-function, Dirichlet L-functions, automorphic L-functions etc. are discussed. Then we prove new results on the value-distribution of symmetric power L-functions, which are limit formulas involving associated M-functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-17T05:02:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F66",
      "11M41"
    ],
    "keywords": [
      "symmetric power l-functions",
      "limit formulas",
      "first briefly survey",
      "dirichlet l-functions",
      "riemann zeta-function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}