Asymptotics for the Enumeration of Commuting Matrices over Finite Fields
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We give asymptotic expressions for the number of commuting matrices over finite fields. For this, we use product expansions for the corresponding generating functions.
💡 Research Summary
The paper investigates the enumeration of ordered pairs of commuting (n\times n) matrices over a finite field (\mathbb{F}{p^{r}}). Denoting this number by (Q{p^{r}}(n)), the authors start from the classical Feit–Fine generating function
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