{
  "id": "math/9512224",
  "version": "v1",
  "published": "1995-12-19T19:47:26.000Z",
  "updated": "1995-12-19T19:47:26.000Z",
  "title": "An Explicit Formula for the Number of Solutions of X^2=0 in Triangular Matrices over a Finite Field",
  "authors": [
    "Shalosh B. Ekhad",
    "Doron Zeilberger"
  ],
  "comment": "Plain TeX",
  "journal": "Elec. J. Comb. 3(1)(1996), R2",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove an explicit formula for the number of $n \\times n$ upper triangular matrices, over $GF(q)$, whose square is the zero matrix. This formula was recently conjectured by Sasha Kirillov and Anna Melnikov[KM].",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-12-19T19:47:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "explicit formula",
      "finite field",
      "upper triangular matrices",
      "anna melnikov",
      "sasha kirillov"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "Plain TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1995math.....12224E"
    }
  }
}