{
  "id": "1804.05561",
  "version": "v1",
  "published": "2018-04-16T09:05:41.000Z",
  "updated": "2018-04-16T09:05:41.000Z",
  "title": "A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach and Generalized Twin Prime Problems",
  "authors": [
    "Janos Pintz"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "A new explicit formula is proved for the contribution of the major arcs in the Goldbach and Generalized Twin Prime Problem, in which the level of the major arcs can be chosen very high. This will have many applications in the approximations of the mentioned problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-16T09:05:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32"
    ],
    "keywords": [
      "generalized twin prime problem",
      "explicit formula",
      "additive theory",
      "applications",
      "major arcs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}