{
  "id": "1105.5373",
  "version": "v1",
  "published": "2011-05-26T18:59:40.000Z",
  "updated": "2011-05-26T18:59:40.000Z",
  "title": "Geometric configurations in the ring of integers modulo $p^{\\ell}$",
  "authors": [
    "David Covert",
    "Alex Iosevich",
    "Jonathan Pakianathan"
  ],
  "comment": "21 pages",
  "categories": [
    "math.CO",
    "math.CA",
    "math.NT"
  ],
  "abstract": "We study variants of the Erd\\H os distance problem and dot products problem in the setting of the integers modulo $q$, where $q = p^{\\ell}$ is a power of an odd prime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-26T18:59:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integers modulo",
      "geometric configurations",
      "os distance problem",
      "dot products problem",
      "study variants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.5373C"
    }
  }
}