Remarks on Robin's and Niocolas Inequalities
Boris A. Kupershmidt

TL;DR
This paper advances the understanding of Robin's and Nicolas' inequalities by strengthening, deforming, and proving Robin's conjecture, which consequently leads to a proof of Nicolas' conjecture.
Contribution
The paper provides a new proof of Robin's conjecture, strengthening its validity and deriving Nicolas' conjecture as a consequence.
Findings
Robin's conjecture is proved.
Nicolas' conjecture follows from Robin's conjecture.
The results deepen the understanding of inequalities related to prime distributions.
Abstract
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematics and Applications · Limits and Structures in Graph Theory
