{
  "id": "2101.00632",
  "version": "v1",
  "published": "2021-01-03T14:39:29.000Z",
  "updated": "2021-01-03T14:39:29.000Z",
  "title": "An asymptotic expansion of Selberg's central limit theorem near the critical line",
  "authors": [
    "Yoonbok Lee"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We find an asymptotic expansion of Selberg's central limit theorem for the Riemann zeta function on $\\sigma = \\frac12 + ( \\log T)^{-\\theta}$ and $t \\in [T, 2T]$, where $ 0 < \\theta < \\frac12$ is a constant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-03T14:39:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "selbergs central limit theorem",
      "asymptotic expansion",
      "critical line",
      "riemann zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}