The Spectrum of a Rational Function

• 作者: Salah Najib
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（3）
• 页码范围: 477-482
• 页数: 6页
• 语种: 英文
• DOI: 10.1142/S1005386720000395

摘要

Let k be an infinite field,A be a finite set of k,and Q ∈ k[(x)](with (x)=(x1,...,xn) and n ≥ 2) be a nonconstant polynomial.The main goal of this paper is to construct a polynomial P((x)) ∈ k[(x)]with suitably large partial degrees in x1,xn-1 such that P and Q are coprime,and P-aQ is reducible for all a in A.