{
  "id": "1211.1823",
  "version": "v2",
  "published": "2012-11-08T10:51:03.000Z",
  "updated": "2013-02-13T12:20:04.000Z",
  "title": "On Waring's problem: two squares and three biquadrates",
  "authors": [
    "John B. Friedlander",
    "Trevor D. Wooley"
  ],
  "comment": "to appear in Mathematika",
  "doi": "10.1112/S0025579313000089",
  "categories": [
    "math.NT"
  ],
  "abstract": "We investigate sums of mixed powers involving two squares and three biquadrates. In particular, subject to the truth of the Generalised Riemann Hypothesis and the Elliott-Halberstam Conjecture, we show that all large natural numbers n with 8 not dividing n, n not congruent to 2 modulo 3, and n not congruent to 14 modulo 16, are the sum of 2 squares and 3 biquadrates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-13T12:20:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P05",
      "11N36",
      "11P55"
    ],
    "keywords": [
      "warings problem",
      "biquadrates",
      "large natural numbers",
      "generalised riemann hypothesis",
      "elliott-halberstam conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.1823F"
    }
  }
}