{
  "id": "math/0011111",
  "version": "v1",
  "published": "2000-11-16T17:42:36.000Z",
  "updated": "2000-11-16T17:42:36.000Z",
  "title": "Spectral Properties of a Binomial Matrix",
  "authors": [
    "Pantelimon Stanica",
    "Rhodes Peele"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we study some further properties of the matrix with entries binom{i-1}{n-j}. We find the generating function for each row and column, and we find the eigenvalues and eigenvectors of this matrix. We also find the spectral properties of this matrix modulo 3 and 5.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-16T17:42:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "15A33"
    ],
    "keywords": [
      "spectral properties",
      "binomial matrix",
      "entries binom",
      "matrix modulo"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....11111S"
    }
  }
}