天津师范大学学报（自然科学版）2026，Vol.46Issue(1)：6-10,5.DOI:10.19638/j.issn1671-1114.20260102
函数域中的多元相交多项式
Multivariate intersective polynomials in function fields
张慧敏 1李晓慧 1李国全1
作者信息
- 1. 天津师范大学数学科学学院,天津 300387
- 折叠
摘要
Abstract
Let Fq be the finite field of q elements.Fq[t]is the polynomial ring over Fq.The intersection of multivariate polyno-mials of Fq[t]is studied.Some basic properties of multivariate intersective polynomial h are proved.An equivalent condi-tion for the intersection of non-constant multivariate polynomial is given by using root sequence.The auxiliary polynomial family related to h is introduced,and a kind of heredity related to difference set of the auxiliary polynomial family is given.Furthermore,it is proved that the set of associated factors of h is a finite set.关键词
有限域上的多项式环/相交多项式/赋值/辅助多项式Key words
polynomial ring over finite field/intersective polynomial/valuation/auxiliary polynomial分类
数理科学引用本文复制引用
张慧敏,李晓慧,李国全..函数域中的多元相交多项式[J].天津师范大学学报（自然科学版）,2026,46(1):6-10,5.
