{
  "id": "1107.4511",
  "version": "v4",
  "published": "2011-07-22T13:05:01.000Z",
  "updated": "2011-10-03T08:01:58.000Z",
  "title": "Values of certain L-series in positive characteristic",
  "authors": [
    "Federico Pellarin"
  ],
  "journal": "Annals of Mathematics 176, 3 (2012) 2055-2093",
  "doi": "10.4007/annals.2012.176.3.13",
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduce a family of L-series specialising to both L-series associated to certain Dirichlet characters over F_q[T] and to integral values of Carlitz-Goss zeta function associated to F_q[T]. We prove, with the use of the theory of deformations of vectorial modular forms, a formula for their value at 1, as well as some arithmetic properties of other values at positive integers",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-10-03T08:01:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive characteristic",
      "vectorial modular forms",
      "integral values",
      "arithmetic properties",
      "dirichlet characters"
    ],
    "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": "2011arXiv1107.4511P"
    }
  }
}