{
  "id": "math/9811191",
  "version": "v1",
  "published": "1998-11-05T00:00:00.000Z",
  "updated": "1998-11-05T00:00:00.000Z",
  "title": "Computing zeta functions over finite fields",
  "authors": [
    "Daqing Wan"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper, we give an overview of the various general methods in computing the zeta function of an algebraic variety defined over a finite field, with an emphasis on computing the reduction modulo $p^m$ of the zeta function of a hypersurface, where $p$ is the characteristic of the finite field. In particular, this applies to the problem of counting rational points of an algebraic variety over a finite field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-11-05T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite field",
      "computing zeta functions",
      "counting rational points",
      "reduction modulo",
      "general methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....11191W"
    }
  }
}