Linear Recurrences of Order at Most Two in Small Divisors

2021/08/18 by A. Anas Chentouf, Chentouf, A. Anas
Mathematics · #11B37 (Primary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras #math.NT #msc:11B37

paper · pdf · doi:10.48550/arxiv.2108.13173

arxiv created 2021/08/18 · openalex publication_date 2021/08/18 · arxiv updated 2021/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a positive integer n, the small divisors of n are defined as the positive divisors that do not exceed √(n). Ianucci previously classified all n for which the small divisors of n form an arithmetic progression. In this paper, we classify all n for which the small divisors of n form a linear recurrence of order at most two.

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