{
  "id": "math/0209092",
  "version": "v1",
  "published": "2002-09-09T14:54:32.000Z",
  "updated": "2002-09-09T14:54:32.000Z",
  "title": "On the irreducibility of the two variable zeta-function for curves over finite fields",
  "authors": [
    "Niko Naumann"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In [P] R. Pellikaan introduced a two variable zeta-function for a curve over a finite field and proved that it is a rational function. Here we show that its denominator is absolutely irreducible. This is motivated by work of J. Lagarias and E. Rains on an analogous two variable zeta-funtion for number fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-09-09T14:54:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G20",
      "14G10"
    ],
    "keywords": [
      "finite field",
      "variable zeta-function",
      "irreducibility",
      "number fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9092N"
    }
  }
}