An Explicit Formula for the Number of Solutions of X^2=0 in Triangular Matrices over a Finite Field

Doron Zeilberger (Temple University); Shalosh B. Ekhad (Temple University)

arxiv: math/9512224 · v1 · submitted 1995-12-19 · 🧮 math.CO

An Explicit Formula for the Number of Solutions of X²=0 in Triangular Matrices over a Finite Field

Shalosh B. Ekhad (Temple University) , Doron Zeilberger (Temple University) This is my paper

classification 🧮 math.CO

keywords formulaexplicitmatricesnumbertriangularannaconjecturedfield

0 comments

read the original 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].

This paper has not been read by Pith yet.

An Explicit Formula for the Number of Solutions of X²=0 in Triangular Matrices over a Finite Field

discussion (0)