{
  "id": "1608.04718",
  "version": "v1",
  "published": "2016-08-16T19:28:23.000Z",
  "updated": "2016-08-16T19:28:23.000Z",
  "title": "A proof of the refined class number formula of Gross",
  "authors": [
    "Minoru Hirose"
  ],
  "comment": "38 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In 1988, Gross proposed a conjectural congruence between Stickelberger elements and algebraic regulators, which is often referred to as the refined class number formula. In this paper, we prove this congruence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-16T19:28:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R42"
    ],
    "keywords": [
      "refined class number formula",
      "conjectural congruence",
      "stickelberger elements",
      "algebraic regulators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}