{
  "id": "2405.04315",
  "version": "v1",
  "published": "2024-05-07T13:37:40.000Z",
  "updated": "2024-05-07T13:37:40.000Z",
  "title": "The average number of Goldbach representations over multiples of $q$",
  "authors": [
    "Karin Ikeda"
  ],
  "comment": "12 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We discuss the evaluation of the average number of Goldbach representations for integers which are multiples of $q$ introduced by Granville. We improve an estimate given by Granville under the generalized Riemann hypothesis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-07T13:37:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32"
    ],
    "keywords": [
      "goldbach representations",
      "average number",
      "generalized riemann hypothesis",
      "evaluation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}