Remarks on Robin's and Niocolas Inequalities

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.