十二次整系数多项式与纽结多项式  

Integral Coefficient Polynomials with Degree 12 and Knot Polynomials

作　　者：韩友发[1] 那欣雨 马郡梓 HAN You-fa;NA Xin-yu;MA Jun-zi(School of Mathematics,Liaoning Normal University,Dalian 116029,China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《通化师范学院学报》2023年第6期39-44,共6页Journal of Tonghua Normal University

基　　金：国家自然科学基金项目(11471151,12026411);辽宁省教育厅项目(LJ2019004)。

摘　　要：文章主要研究了整系数多项式和纽结琼斯多项式的性质,给出整系数多项式是纽结琼斯多项式的判别方法 .讨论了若一个整系数多项式是一个次数为12的宽度是9和10的性质,给出了它们是琼斯多项式的必要条件.In this paper,the properties of integral coefficient polynomial and knot polynomial is studied and the their relationship is focus.This chapter mainly discusses some relations between polynomials of twelve integral coefficients.First,if a polynomial is an integral coefficient polynomial of degree 12 and width 9,we can find the necessary conditions for it to be a polynomial.If a polynomial is an integral coef⁃ficient polynomial of degree 12 and width 10,then we can find the necessary condition for it to be polyno⁃mial.

关 键 词：纽结 琼斯多项式 整系数多项式 宽度 

分 类 号：O189.3[理学—数学]