{
  "id": "0710.5415",
  "version": "v1",
  "published": "2007-10-29T13:06:49.000Z",
  "updated": "2007-10-29T13:06:49.000Z",
  "title": "Generating functions for borders",
  "authors": [
    "Jan Snellman"
  ],
  "comment": "10 pages, no figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give the generating function for the index of integer lattice points, relative to a finite order ideal. The index is an important concept in the theory of border bases, an alternative to Gr\\\"obner bases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-29T13:06:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15"
    ],
    "keywords": [
      "generating function",
      "integer lattice points",
      "finite order ideal",
      "important concept",
      "border bases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.5415S"
    }
  }
}