{
  "id": "2203.16086",
  "version": "v1",
  "published": "2022-03-30T06:25:59.000Z",
  "updated": "2022-03-30T06:25:59.000Z",
  "title": "A note on the large values of $|ζ^{(\\ell)}(1+{\\rm i}t)|$",
  "authors": [
    "Zikang Dong",
    "Bin Wei"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We investigate the large values of the derivatives of the Riemann zeta function $\\zeta(s)$ on the 1-line. We give a larger lower bound for $\\max_{t\\in[T,2T]}|\\zeta^{(\\ell)}(1+{\\rm i} t)|$, which improves the previous result established by Yang.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-30T06:25:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11N37"
    ],
    "keywords": [
      "large values",
      "larger lower bound",
      "riemann zeta function",
      "derivatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}