论文标题
涉及循环多项式的身份
An Identity involving the Cyclotomic Polynomials
论文作者
论文摘要
我们提供了一个基本身份，用于循环多项式$φ_n（x）$，它反映了$ n $的$φ_n（x）$的一种乘法属性，我们探索了其与其他算术功能的属性的连接。 重要说明：在上传到Arxiv的本文的第一版中，据说这一结果似乎是新的。但是，此后，我了解到这种身份（在定理1.1中）以前出现在 Cheng，C。C. A.，McKay，J。H.，＆Wang，S.S。（1995）。循环多项式的结果。美国数学学会论文集，123（4），1053-1059。 （有不同的证明）。
We present an elementary identity for the cyclotomic polynomials $Φ_n(X)$ which reflects a kind of multiplicative property of $Φ_n(X)$ as a function of $n$, and we explore its connections with the properties of other arithmetical functions. Important Note: In the first version of this article uploaded to the arXiv, it is said that this result seemed to be new. However, after that, I have learned that this identity (in Theorem 1.1) has previously appeared in Cheng, C. C. A., McKay, J. H., & Wang, S. S. S. (1995). Resultants of cyclotomic polynomials. Proceedings of the American Mathematical Society, 123(4), 1053-1059. (with a different proof).
