{
  "id": "1102.5465",
  "version": "v2",
  "published": "2011-02-27T01:46:47.000Z",
  "updated": "2011-06-09T15:02:38.000Z",
  "title": "Mass formula of division algebras over global function fields",
  "authors": [
    "Fu-Tsun Wei",
    "Chia-Fu Yu"
  ],
  "comment": "14 pages, revised version",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we give two proofs of the mass formula for definite central division algebras over global function fields, due to Denert and Van Geel. The first proof is based on a calculation of Tamagawa measures. The second proof is based on analytic methods, in which we establish the relationship directly between the mass and the value of the associated zeta function at zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-09T15:02:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R52",
      "11R58"
    ],
    "keywords": [
      "global function fields",
      "mass formula",
      "definite central division algebras",
      "first proof",
      "tamagawa measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.5465W"
    }
  }
}