{
  "id": "1809.07167",
  "version": "v1",
  "published": "2018-09-19T13:15:39.000Z",
  "updated": "2018-09-19T13:15:39.000Z",
  "title": "The $16$-rank of $\\mathbb{Q}(\\sqrt{-p})$",
  "authors": [
    "Peter Koymans"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Recently, a density result for the $16$-rank of $\\text{Cl}(\\mathbb{Q}(\\sqrt{-p}))$ was established when $p$ varies among the prime numbers, assuming a short character sum conjecture. In this paper we prove the same density result unconditionally.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-19T13:15:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R29",
      "11R45",
      "11N45"
    ],
    "keywords": [
      "density result",
      "short character sum conjecture",
      "prime numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}