{
  "id": "1811.04399",
  "version": "v1",
  "published": "2018-11-11T11:42:40.000Z",
  "updated": "2018-11-11T11:42:40.000Z",
  "title": "On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis",
  "authors": [
    "Kirill Kovalenko",
    "Nikita Derevyanko"
  ],
  "comment": "Preprint version",
  "categories": [
    "math.NT"
  ],
  "abstract": "The purpose of the present paper is to provide a general overview of a variety of results related to a category of cotangent sums which have been proven to be associated to the so-called Nyman-Beurling criterion for the Riemann Hypothesis. These sums are also related to the Estermann Zeta function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-11T11:42:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann hypothesis",
      "cotangent sums",
      "nyman-beurling criterion",
      "estermann zeta function",
      "general overview"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}