{
  "id": "2002.10129",
  "version": "v1",
  "published": "2020-02-24T09:43:59.000Z",
  "updated": "2020-02-24T09:43:59.000Z",
  "title": "Approximation in measure: Dirichlet problem, universality and the Riemann hypothesis",
  "authors": [
    "Javier Falcó",
    "Paul M. Gauthier"
  ],
  "categories": [
    "math.CV"
  ],
  "abstract": "Approximation in measure is employed to solve an asymptotic Dirichlet problem on arbitrary open sets and to show that many functions, including the Riemann zeta-function, are universal in measure. Connections with the Riemann Hypothesis are suggested.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-24T09:43:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30K99",
      "30E10",
      "31C12",
      "11M06"
    ],
    "keywords": [
      "riemann hypothesis",
      "approximation",
      "universality",
      "arbitrary open sets",
      "asymptotic dirichlet problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}