{
  "id": "1202.5703",
  "version": "v1",
  "published": "2012-02-25T22:39:35.000Z",
  "updated": "2012-02-25T22:39:35.000Z",
  "title": "Construction of an Ordinary Dirichlet Series with Convergence beyond the Bohr Strip",
  "authors": [
    "Brian N. Maurizi"
  ],
  "categories": [
    "math.CV",
    "math.NT"
  ],
  "abstract": "An ordinary Dirichlet series has three abscissae of interest, describing the maximal regions where the Dirichlet series converges, converges uniformly, and con- verges absolutely. The paper of Hille and Bohnenblust in 1931, regarding the region on which a Dirichlet series can converge uniformly but not absolutely, has prompted much investigation into this region, the \"Bohr strip\". However, a related natural question has apparently gone unanswered: For a Dirichlet series with non-trivial Bohr strip, how far beyond the Bohr strip might the series converge? We investigate this question by explicit construction, creating Dirichlet series which converge beyond their Bohr strip.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-25T22:39:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "30B50"
    ],
    "keywords": [
      "ordinary dirichlet series",
      "convergence",
      "non-trivial bohr strip",
      "dirichlet series converges",
      "explicit construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.5703M"
    }
  }
}