2024/06/11 by Chung‐Hang Kwan, Steven J. Miller, Kwan, Chung-Hang +1
Computer Science · Mathematics · #11A25 (primary) #11B83 (secondary) #11N25 #Advanced Mathematical Theories #Computability, Logic, AI Algorithms #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2406.06892
openalex publication_date 2024/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by the works of Erdös, Pomerance, Wolke and Harman on the sum-of-divisor function σ(n), we study the distribution of a special class of natural numbers closely related to (multiply) perfect numbers which we term `(ℓ;k)-within-perfect numbers', where ℓ >1 is a real number and k: [1, ∞) → (0, ∞) is an increasing and unbounded function.