{
  "id": "math/0204194",
  "version": "v1",
  "published": "2002-04-15T12:00:49.000Z",
  "updated": "2002-04-15T12:00:49.000Z",
  "title": "On the nature of the \"explicit formulas\" in analytic number theory - a simple example",
  "authors": [
    "Christopher Deninger"
  ],
  "categories": [
    "math.NT",
    "math.AP",
    "math.DS"
  ],
  "abstract": "We interpret the \"explicit formulas\" in the sense of analytic number theory for the zeta function of an elliptic curve over a finite field as a transversal index theorem on a 3-dimensional laminated space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-04-15T12:00:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11Mxx",
      "11R58",
      "58J20",
      "53C12"
    ],
    "keywords": [
      "analytic number theory",
      "explicit formulas",
      "simple example",
      "transversal index theorem",
      "zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......4194D"
    }
  }
}