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Version 3
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A Generalization of the Sum of Divisors Function
Version 1
: Received: 26 February 2022 / Approved: 1 March 2022 / Online: 1 March 2022 (14:43:37 CET)
Version 2 : Received: 3 March 2022 / Approved: 3 March 2022 / Online: 3 March 2022 (10:14:28 CET)
Version 3 : Received: 6 March 2022 / Approved: 7 March 2022 / Online: 7 March 2022 (10:53:32 CET)
Version 4 : Received: 16 March 2022 / Approved: 17 March 2022 / Online: 17 March 2022 (11:57:24 CET)
Version 5 : Received: 17 March 2022 / Approved: 18 March 2022 / Online: 18 March 2022 (12:11:02 CET)
Version 6 : Received: 24 March 2022 / Approved: 25 March 2022 / Online: 25 March 2022 (10:05:06 CET)
Version 2 : Received: 3 March 2022 / Approved: 3 March 2022 / Online: 3 March 2022 (10:14:28 CET)
Version 3 : Received: 6 March 2022 / Approved: 7 March 2022 / Online: 7 March 2022 (10:53:32 CET)
Version 4 : Received: 16 March 2022 / Approved: 17 March 2022 / Online: 17 March 2022 (11:57:24 CET)
Version 5 : Received: 17 March 2022 / Approved: 18 March 2022 / Online: 18 March 2022 (12:11:02 CET)
Version 6 : Received: 24 March 2022 / Approved: 25 March 2022 / Online: 25 March 2022 (10:05:06 CET)
How to cite: Cox, D.; Ghosh, S.; Sultanow, E. A Generalization of the Sum of Divisors Function. Preprints 2022, 2022030025. https://doi.org/10.20944/preprints202203.0025.v3 Cox, D.; Ghosh, S.; Sultanow, E. A Generalization of the Sum of Divisors Function. Preprints 2022, 2022030025. https://doi.org/10.20944/preprints202203.0025.v3
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
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Darrell Cox
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