{
  "id": "1404.5669",
  "version": "v2",
  "published": "2014-04-22T23:28:17.000Z",
  "updated": "2015-02-26T03:18:27.000Z",
  "title": "Linnik's approximation to Goldbach's conjecture, and other problems",
  "authors": [
    "Dave Platt",
    "Tim Trudgian"
  ],
  "comment": "Second version: 10 pages, another problem added",
  "categories": [
    "math.NT"
  ],
  "abstract": "We examine the problem of writing every sufficiently large even number as the sum of two primes and at most $K$ powers of 2. We outline an approach that only just falls short of improving the current bounds on $K$. Finally, we improve the estimates in other Waring--Goldbach problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-22T23:28:17.000Z",
      "comment": "9 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-02-26T03:18:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32"
    ],
    "keywords": [
      "goldbachs conjecture",
      "linniks approximation",
      "current bounds",
      "falls short",
      "waring-goldbach problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.5669P"
    }
  }
}