{
  "id": "math/0007094",
  "version": "v1",
  "published": "2000-07-14T23:07:02.000Z",
  "updated": "2000-07-14T23:07:02.000Z",
  "title": "Convergence of zeta functions of graphs",
  "authors": [
    "Bryan Clair",
    "Shahriar Mokhtari-Sharghi"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "The $L^2$-zeta function of an infinite graph Y (defined previously in a ball around zero) has an analytic extension. For a tower of finite graphs covered by Y, the normalized zeta functions of the finite graphs converge to the $L^2$-zeta function of Y.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-14T23:07:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convergence",
      "finite graphs converge",
      "normalized zeta functions",
      "infinite graph",
      "analytic extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7094C"
    }
  }
}