The Number of Solutions of $X^2=0$ in Triangular Matrices Over $GF(q)$

  • Shalosh B. Ekhad
  • Doron Zeilberger
DOI: https://doi.org/10.37236/1226

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.

Published
1995-12-01
Issue
Volume 3, Issue 1 (1996)
Article Number
R2