论文标题
关于金属学多项式的特性
On the properties of fibotomic polynomials
论文作者
论文摘要
将$ n $ th的金纤维多项式定义为$ n $ th fibonacci多项式的一元不可用因子的产物，这不是任何较小程度的fibonacci多项式的因素。在本文中，我们证明了金属学多项式的许多特性。这包括确定金属纤维多项式的判别和成对的金属纤维多项式。此外，我们彻底确定了素数中金属多项式的分解形式。结果也被概括为双变量同质金属学多项式。
Define the $n$-th fibotomic polynomial to be the product of the monic irredicible factors of the $n$-th Fibonacci polynomial which are not factors of any Fibonacci polynomial of smaller degree. In this paper, we prove a number of properties of the fibotomic polynomials. This includes determining the discriminant of the fibotomic polynomials and the resultant of pairs of fibotomic polynomials. Furthermore, we completely determine the factorization form of the fibotomic polynomials in prime fields. Results are also generalized for the bivariate homogenous fibotomic polynomials.
