On integers n for which σ(2n+1)≥ σ(2n)

2019/04/22 by Mits Kobayashi, Tim Trudgian, Kobayashi, Mits +1
Computer Science · Mathematics · #11A25 #11N25 #Advanced Mathematical Theories #Advanced Topology and Set Theory #Analytic Number Theory Research #Computability, Logic, AI Algorithms #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1904.10064

openalex publication_date 2019/04/22 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We show that the natural density of positive integers n for which σ(2n+1)≥ σ(2n) is between 0.053 and 0.055.

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