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arXiv · 1103.3928

On a uniformly distributed phenomenon in matrix groups

Su Hu·Yan Li
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Abstract

We show that a classical uniformly distributed phenomenon for an element and its inverse in ($\mathbb{Z}/n\mathbb{Z})^{*}$ also exists in $\textrm{GL}_{n}(\mathbb{F}_{p})$. A $\textrm{GL}_{n}(\mathbb{F}_{p})$ analogy of the uniform distribution on modular hyperbolas has also been considered.

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Su Hu, Yan Li. 2013-09-02. On a uniformly distributed phenomenon in matrix groups. https://arxiv.org/abs/1103.3928

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