{
  "id": "1601.06902",
  "version": "v1",
  "published": "2016-01-26T06:35:25.000Z",
  "updated": "2016-01-26T06:35:25.000Z",
  "title": "The Average Number of Goldbach Representations",
  "authors": [
    "D. A. Goldston",
    "Liyang Yang"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Assuming the Riemann Hypothesis, we obtain asymptotic formulas for the average number representations of an even integer as the sum of two primes. We use the method of Bhowmik and Schlage-Puchta and refine their results slightly to obtain a more recent result of Languasco and Zaccagnini, and a new result on a smoother average.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-26T06:35:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32"
    ],
    "keywords": [
      "goldbach representations",
      "average number representations",
      "smoother average",
      "riemann hypothesis",
      "asymptotic formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}