Distributions of Matrices over ${\mathbb{F}}_q[x]$

Yibo Ji

In this paper, we count the number of matrices $A=(A_{i,j})\in \mathcal{O}\subset Ma{t}_{n\times n}({\mathbb{F}}_q[x])$ where $deg(A_{i,j})\le k,1\le i,j\le n$, $deg(\det A) =…