{
  "id": "1703.08842",
  "version": "v1",
  "published": "2017-03-26T16:37:24.000Z",
  "updated": "2017-03-26T16:37:24.000Z",
  "title": "Upper bounds for $L^q$ norms of Dirichlet polynomials with small $q$",
  "authors": [
    "Winston Heap"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We improve on previous upper bounds for the $q$th norm of the partial sums of the Riemann zeta function on the half line when $0<q\\leqslant 1$. In particular, we show that the 1-norm is bounded above by $(\\log N)^{1/4}(\\log\\log N)^{1/4}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-26T16:37:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper bounds",
      "dirichlet polynomials",
      "riemann zeta function",
      "partial sums",
      "half line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}