论文标题

$ \ mathbb {f} _p [x] $的多项式,在构图下通勤

Polynomials in $\mathbb{F}_p[x]$ which commute under composition

论文作者

Hatley, Jeffrey, Teplitskiy, Mayah

论文摘要

令$ \ mathbb {f} $为有限字段,让$ f $为$ \ mathbb {f} [x] $中的线性多项式。我们调查了用$ f $ $ f $上下班的多项式$ d $的多项式数量。这样做,我们重新发现了Park的结果,但是从概念上讲,证明了。

Let $\mathbb{F}$ be a finite field and let $f$ be a linear polynomial in $\mathbb{F}[x]$. We investigate the number of polynomials of degree $d$ which commute with $f$ under composition. In so doing, we rediscover a result of Park, but with a conceptually simpler proof.

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