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
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.