三项式x^n-bx +a的二次不可约因式

吴华明. 三项式x^n-bx +a的二次不可约因式[J]. 华南师范大学学报（自然科学版）, 2011, (2).

引用本文:

吴华明. 三项式x^n-bx +a的二次不可约因式[J]. 华南师范大学学报（自然科学版）, 2011, (2).

THE IRREDUCIBLE QUADRATIC FACTORS OF THE TRINOMIAL x^n-bx +a[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).

Citation:

THE IRREDUCIBLE QUADRATIC FACTORS OF THE TRINOMIAL x^n-bx +a[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).

THE IRREDUCIBLE QUADRATIC FACTORS OF THE TRINOMIAL x^n-bx +a

摘要: 设n是正整数,f(x)=x^n-bx+a,其中a,b是非零整数.当nmax(30,1/2(|b|+1))时,运用Lucas数本原素因子存在性的新近结果，找出了所有含有首项系数等于1的二次整系数不可约因式的f(x).

Abstract: Let n be a positive integer, and Let f(x)=x^n-bx+a，where a,b are nonzero integers. Using a recent result on the existence of primitive divisors of Lucas numbers, all which have monic irreducible quadratic factors with integer coefficients are given under the assumption nmax(30,1/2(|b|+1.

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