{
  "id": "1103.0926",
  "version": "v1",
  "published": "2011-03-04T15:45:25.000Z",
  "updated": "2011-03-04T15:45:25.000Z",
  "title": "The $χ$-part of the analytic class number formula, for global function fields",
  "authors": [
    "Stéphane Viguié"
  ],
  "comment": "10 pages",
  "journal": "Bulletin of the Polish Academy of Sciences, Mathematics, no.60, pp. 123-132 (2012)",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let F/k be a finite abelian extension of global function fields, totally split at a distinguished place \\infty. We prove that a complex Gras conjecture holds for a suitable group of Stark units, and we derive a refined analytic class number formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-04T15:45:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R58",
      "11R29",
      "11M06"
    ],
    "keywords": [
      "global function fields",
      "complex gras conjecture holds",
      "refined analytic class number formula",
      "finite abelian extension",
      "stark units"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.0926V"
    }
  }
}