{
  "id": "2105.03525",
  "version": "v1",
  "published": "2021-05-07T22:22:13.000Z",
  "updated": "2021-05-07T22:22:13.000Z",
  "title": "Mean values of long Dirichlet polynomials with higher divisor coefficients",
  "authors": [
    "Alia Hamieh",
    "Nathan Ng"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we prove an asymptotic formula for mean values of long Dirichlet polynomials with higher order shifted divisor functions, assuming a smoothed additive divisor conjecture for higher order shifted divisor functions. As a consequence of this work, we prove special cases of conjectures of Conrey-Keating \\cite{CK3} on mean values of long Dirichlet polynomials with higher order shifted divisor functions as coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-07T22:22:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26",
      "11M41",
      "11N37",
      "11N75"
    ],
    "keywords": [
      "long dirichlet polynomials",
      "higher order shifted divisor functions",
      "higher divisor coefficients",
      "mean values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}