{
  "id": "1503.01799",
  "version": "v1",
  "published": "2015-03-05T21:57:12.000Z",
  "updated": "2015-03-05T21:57:12.000Z",
  "title": "Sums of four squares of primes",
  "authors": [
    "Angel V. Kumchev",
    "Lilu Zhao"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $E(N)$ denote the number of positive integers $n \\le N$, with $n \\equiv 4 \\pmod{24}$, which cannot be represented as the sum of four squares of primes. We establish that $E(N)\\ll N^{11/32}$, thus improving on an earlier result of Harman and the first author, where the exponent $7/20$ appears in place of $11/32$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-05T21:57:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32"
    ],
    "keywords": [
      "earlier result",
      "first author",
      "positive integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150301799K"
    }
  }
}