摘要
设Fn(x)和Ln(x)表示Fibonacci多项式和Lucas多项式.令Fn(x)=xα(F)Fn(x)和Ln(x)=xα(L)Ln(x),其中α(F)和α(L)分别表示Fn(x)和Ln(x)的最低次项的次数.本文中给出了Fn(x)和Ln(x)在有理数域上不可约的充要条件.
Let F_n(x) and L_n(x) denote the Fibonacci polynomials and Lucas polynomials,respectively.Suppose that F_n(x)=x^(α(F))(F_n(x)) and L_n(x)=x^(α(L))(L_n(x)),where α(F) and α(L)denote the degree of the minimum term of F_n(x) and L_n(x),respectively.In this paper,we obtain a necessary and sufficient conditions for (F_n(x)) and (L_n(x)) to be irreducible over the rational numbers.field
出处
《青海师范大学学报（自然科学版）》
2003年第4期7-9,共3页
Journal of Qinghai Normal University(Natural Science Edition)
