{
  "id": "1008.2053",
  "version": "v3",
  "published": "2010-08-12T06:32:55.000Z",
  "updated": "2014-08-07T01:16:42.000Z",
  "title": "Counting Subrings of ${\\mathbb Z}^n$ of finite index",
  "authors": [
    "Nathan Kaplan",
    "Jake Marcinek",
    "Ramin Takloo-Bighash"
  ],
  "comment": "43 pages. This preprint is now completely included in http://arxiv.org/abs/1408.1374",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article we investigate the number of subrings of $\\Z^d$ using subring zeta functions and $p$-adic integration.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-08-07T01:16:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite index",
      "counting subrings",
      "subring zeta functions",
      "adic integration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2053K"
    }
  }
}