关于x^n-bx-a的二次整系数因式

On the Intergral Coefficient Quadratic Factorization of x^n-bx-a

设n≥5,a,b≠0,n∈N,a,b∈Z,利用Gel'found Baker方法证明:若多项式xn-bx-a有二次整系数因式,则除了n≡2(mod6)且b=1,a=-1,与n≡2(mod3)且b=-1,a=-1这些明显情形外,必有n<max(87｜b｜,512870).

Let n≥5,a,b≠0,n∈N,a,b∈Z.Using Gel'found-Baker method,this paper proves that if x^n-bx-a has intergral coefficient quadratic factorizations,then n< max(87｜b｜,512 870),besides cases n≡2(mod3),b=-1,a=-1,and n≡2(mod6),b=1,a=-1.