Distribution of matrices over $\mathbb{F}_q[x]$
In this paper, we count the number of matrices $A = (A_{i,j} )\in \mathcal{O} \subset \mathrm{Mat}_{n\times n}(\mathbb{F}_q[x])$ where $\deg (A_{i,j})\le k, 1\le i,j\le n$, $\deg (\det A) = t$, and $\mathcal{O}$ is a given orbit of $\mathrm{GL}_n(\mathbb{F}_q[x])$. By an elementary argument, we show...
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| Formato: | Artigo |
| Lenguaje: | Inglês |
| Publicado: |
Académie des sciences
2024-10-01
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| Colección: | Comptes Rendus. Mathématique |
| Materias: | |
| Acceso en línea: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.616/ |
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