多项式性质及其应用  

Properties of Polynomial and Its Applications

作　　者：纪宏佳 郑蕊 王一婷 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《应用数学进展》2023年第9期3933-3944,共12页Advances in Applied Mathematics

摘　　要：整系数多项式与纽结多项式有着十分密切的关系,本文研究了多项式在纽结理论中的应用。通过讨论多项式导数在某些点的性质,分别给出六次整系数多项式以及宽度为十的十四次整系数多项式是纽结多项式的判别方法。这对研究纽结理论的核心问题之一纽结的分类具有重要意义。There is a very close relationship between integer coefficient polynomials and knot polynomials. In this paper, the application of polynomials in Knot theory is studied. By discussing the properties of the derivatives of polynomials at some points, the methods for judging that a sixth order integer co-efficient polynomial and a fourteenth order integer coefficient polynomial with a width of ten are Knot polynomial are given respectively. This is of great significance for the classification of knots, which is one of the core issues in the study of knot theory.

关 键 词：整系数多项式 纽结多项式 琼斯多项式 

分 类 号：O17[理学—数学]