[Corrigendum] Note on the Riemann Hypothesis: International Conference on Recent Developments in Mathematics (ICRDM 2022)
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Abstract
Robin's criterion states that the Riemann hypothesis is true if and only if the inequality \(\sigma(n) 5040\), where \(\sigma(n)\) is the sum-of-divisors function of \(n\) and \(\gamma \approx 0.57721\) is the Euler-Mascheroni constant. We require the properties of superabundant numbers, that is to say left to right maxima of \(n \mapsto \frac{\sigma(n)}{n}\). In this note, using Robin's inequality on superabundant numbers, we prove that the Riemann hypothesis is true. This is a "Corrigendum" for a paper presentation at the ICRDM 2022 held at Canadian University Dubai, Dubai, UAE during 24-26 August 2022. Besides, this proof is an extension of the article "Robin's criterion on divisibility" published by The Ramanujan Journal on May 3rd, 2022.
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License: CC-BY-4.0