{
  "id": "math/0605429",
  "version": "v3",
  "published": "2006-05-16T11:44:51.000Z",
  "updated": "2006-05-22T06:09:35.000Z",
  "title": "Remarks on zeta functions and K-theory over F1",
  "authors": [
    "Anton Deitmar"
  ],
  "comment": "LaTeX, 14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that the notion of zeta functions over F1, as given in special cases by Soule', extends naturally to all F1-schemes as defined earlier by the author. We further give two constructions of K-theory for affine schemes or F1-rings, we show that these coincide in the group case, but not in general.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-05-22T06:09:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "zeta functions",
      "special cases",
      "affine schemes",
      "group case",
      "f1-schemes"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5429D"
    }
  }
}