{
  "id": "2403.13359",
  "version": "v1",
  "published": "2024-03-20T07:41:05.000Z",
  "updated": "2024-03-20T07:41:05.000Z",
  "title": "$6$-torsion and integral points on quartic surfaces",
  "authors": [
    "Stephanie Chan",
    "Peter Koymans",
    "Carlo Pagano",
    "Efthymios Sofos"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-20T07:41:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral points",
      "affine quartic surface",
      "class groups",
      "quadratic fields",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}