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On the Least counterexample to Robin hypothesis

preprint2020arXivOpen access
Xiaolong Wu
math.NT
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Abstract

Let G(n)=σ(n)/(nlog⁡log⁡n)G(n)=σ(n)/(n \log \log n ). Robin made hypothesis that G(n)<eγG(n)<e^γ for all integer n>5040n>5040. If Robin hypothesis fails, there will be a least counterexample. This article collects the requirements the least counterexample should satisfy.

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