An Explicit Formula for the Number of Solutions of X2=0 in Triangular Matrices over a Finite Field
Shalosh B. Ekhad, Doron Zeilberger
Abstract
We prove an explicit formula for the number of n × 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].
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