An Explicit Formula for the Number of Solutions of X^2=0 in Triangular Matrices over a Finite Field
Combinatorics
2008-02-03 v1
Abstract
We prove an explicit formula for the number of upper triangular matrices, over , whose square is the zero matrix. This formula was recently conjectured by Sasha Kirillov and Anna Melnikov[KM].
Cite
@article{arxiv.math/9512224,
title = {An Explicit Formula for the Number of Solutions of X^2=0 in Triangular Matrices over a Finite Field},
author = {Shalosh B. Ekhad and Doron Zeilberger},
journal= {arXiv preprint arXiv:math/9512224},
year = {2008}
}
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