Zsigmondy's theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings

JOURNAL OF ALGEBRA

卷:586

Article

Sha, Min¹ 

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

关键词: Primitive divisor;    Zsigmondy's theorem;    Lucas sequence;    Lehmer sequence;    Polynomial ring;   

DOI  :  10.1016/j.jalgebra.2021.07.016

来源: Elsevier

【 摘 要 】

In this paper, we obtain analogues of Zsigmondy's theorem and the primitive divisor results for the Lucas and Lehmer sequences in polynomial rings of several variables. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free