{
  "id": "1004.4304",
  "version": "v4",
  "published": "2010-04-24T18:37:18.000Z",
  "updated": "2011-03-31T08:39:50.000Z",
  "title": "Special L-values of Drinfeld modules",
  "authors": [
    "Lenny Taelman"
  ],
  "comment": "to appear in Annals of Mathematics",
  "journal": "Ann. of Math. 175 (2012), 369--391",
  "doi": "10.4007/annals.2012.175.1.10",
  "categories": [
    "math.NT"
  ],
  "abstract": "We state and prove a formula for a certain value of the Goss L-function of a Drinfeld module. This gives characteristic-p-valued function field analogues of the class number formula and of the Birch and Swinnerton-Dyer conjecture. The formula and its proof are presented in an entirely self-contained fashion.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-03-31T08:39:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R58",
      "11G09"
    ],
    "keywords": [
      "drinfeld module",
      "special l-values",
      "class number formula",
      "characteristic-p-valued function field analogues",
      "swinnerton-dyer conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.4304T"
    }
  }
}