Preprint
Article
A Generalization of the Sum of Divisors Function
This version is not peer-reviewed.
Submitted:
03 March 2022
Posted:
03 March 2022
Read the latest preprint version here
Abstract
A generalization of the sum of divisors function involves a recursive definition. This leads to variants of superabundant numbers, colossally abundant numbers, and Gronwall's theorem (relevant to the Riemann hypothesis).
Keywords:
sum of divisors function
; superabundant numbers
; colossally abundant numbers
; Riemann hypothesis
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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