On the Lucas and Lehmer sequences in Dedekind domains

2020/05/25 by Li, Xiumei, Peruginelli, Giulio, Sha, Min
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2006.09880

openalex publication_date 2020/05/25 · openalex created_date 2020/06/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we first obtain the strong divisibility property for the Lucas and Lehmer sequences in Dedekind domains, and then establish analogues of Zsigmondy's theorem and the primitive divisor results for such sequences in function fields.

Citations

• Zur Theorie der Potenzreste

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