某些调和代数曲线的对称性
A symmetry property of some harmonic algebraic curves
摘要：
本文的目的是给出某些调和代数曲线的一个令人惊讶的对称性质：当复多项式$P$的所有根$z_i$都落在单位圆$\U$上时，$\U$上不同于$z_i$的点，使得$\Arg(P(z))=θ$，形成一个正则$n$ -边形，其中$n$是$P$的次数.
英文摘要：
The aim of this note is to give a surprising symmetry property of some harmonic algebraic curves: when all the roots $z_i$ of a complex polynomial $P$ lie on the unit circle $\U$, the points of $\U$ different from the $z_i$, and such that $\Arg(P(z))=θ$, form a regular $n$-gon, where $n$ is the degree of $P$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
