{
  "id": "1901.08423",
  "version": "v1",
  "published": "2019-01-24T14:20:12.000Z",
  "updated": "2019-01-24T14:20:12.000Z",
  "title": "Sharp upper bounds for fractional moments of the Riemann zeta function",
  "authors": [
    "Winston Heap",
    "Maksym Radziwiłł",
    "Kannan Soundararajan"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We establish sharp upper bounds for the $2k$th moment of the Riemann zeta function on the critical line, for all real $0 \\leqslant k \\leqslant 2$. This improves on earlier work of Ramachandra, Heath-Brown and Bettin-Chandee-Radziwi\\l\\l",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-24T14:20:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann zeta function",
      "fractional moments",
      "establish sharp upper bounds",
      "th moment",
      "earlier work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}