{
  "id": "2311.16371",
  "version": "v1",
  "published": "2023-11-27T23:30:34.000Z",
  "updated": "2023-11-27T23:30:34.000Z",
  "title": "Omega theorems for logarithmic derivatives of zeta and $L$-functions",
  "authors": [
    "Daodao Yang"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We establish several new $\\Omega$-theorems for logarithmic derivatives of the Riemann zeta function and Dirichlet $L$-functions. In particular, this improves on earlier work of Landau (1911), Bohr-Landau (1913), and recent work of Lamzouri.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-27T23:30:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "logarithmic derivatives",
      "omega theorems",
      "riemann zeta function",
      "earlier work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}