On a problem of Pongsriiam on the sum of divisors

2024/02/06 by Rui-Jing Wang, Wang, Rui-Jing
Arts and Humanities · Pharmacology, Toxicology and Pharmaceutics · Social Sciences · #FOS: Mathematics #Indian and Buddhist Studies #Number Theory (math.NT) #Pharmacy and Medical Practices #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.2402.07931

openalex publication_date 2024/02/06 · openalex created_date 2024/02/15 · openalex updated_date 2026/07/28

Abstract

For any positive integer n, let σ(n) be the sum of all positive divisors of n. In this paper, it is proved that for every integer 1≤ k≤ 29, (k,30)=1, we have ∑_{n≤ K}σ(30n)gt;∑_{n≤ K}σ(30n+k) for all K∈ ℕ, which gives a positive answer to a problem posed by Pongsriiam recently.

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