{
  "id": "math/0701061",
  "version": "v1",
  "published": "2007-01-02T14:02:37.000Z",
  "updated": "2007-01-02T14:02:37.000Z",
  "title": "Generalized Stark formulae over function fields",
  "authors": [
    "Ki-Seng Tan"
  ],
  "comment": "29 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We establish formulae of Stark type for the Stickelberger elements in the function field setting. Our result generalizes a work of Hayes and a conjecture of Gross. It is used to deduce a $p$-adic version of Rubin-Stark Conjecture and Burns Conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-02T14:02:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S40",
      "11R42",
      "11R58"
    ],
    "keywords": [
      "generalized stark formulae",
      "adic version",
      "stickelberger elements",
      "result generalizes",
      "rubin-stark conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1061T"
    }
  }
}