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This is a Quantitative Study study.

October 3, 2025Open Access

Asymptotics for the enumeration of commuting matrices over finite fields

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The study provides asymptotic expressions for the enumeration of commuting matrices.
It uses product expansions for the associated generating functions, which are central to the methodology.
The findings may enhance understanding of matrix theory within the context of finite fields.
Future work could extend these methods to other areas in linear algebra and combinatorics.

Implication

This analysis derives asymptotic expressions for commuting matrices, suggesting new insights into their enumeration in finite fields.

Abstract

We give asymptotic expressions for the number of commuting matrices over finite fields. For this we use product expansions for the corresponding generating functions.

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Cite This Study

Bringmann et al. (2025) studied this question.

synapsesocial.com/papers/68e040eda99c246f578b3541 https://doi.org/10.48550/arxiv.2509.16178

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Implication

This analysis derives asymptotic expressions for commuting matrices, suggesting new insights into their enumeration in finite fields.

Abstract

We give asymptotic expressions for the number of commuting matrices over finite fields. For this we use product expansions for the corresponding generating functions.

Asymptotics for the enumeration of commuting matrices over finite fields

Key Points

Implication

Abstract

Discussion

Cite This Study

Asymptotics for the enumeration of commuting matrices over finite fields

Key Points

Implication

Abstract

Discussion

Cite This Study

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