{
  "id": "1704.05953",
  "version": "v1",
  "published": "2017-04-19T23:01:49.000Z",
  "updated": "2017-04-19T23:01:49.000Z",
  "title": "On the $L^1$ norm of an exponential sum involving the divisor function",
  "authors": [
    "D. A. Goldston",
    "M. Pandey"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we obtain bounds on the $L^1$ norm of the sum $\\sum_{n\\le x}\\tau(n) e(\\alpha n)$ where $\\tau(n)$ is the divisor function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-19T23:01:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "divisor function",
      "exponential sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}