Subsets of colossally abundant numbers

Xiaolong Wu

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arXiv · 1903.03490

Subsets of colossally abundant numbers

Xiaolong Wu

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Abstract

Let $G(n)=\sigma (n)/(n \log \log n )$. Robin made hypothesis that $G(n) 5040$. This article divides all colossally abundant numbers in to three disjoint subsets CA1, CA2 and CA3, and shows that Robin hypothesis is true if and only if all CA2 numbers $n>5040$ satisfy Robin inequality.

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Xiaolong Wu. 2019-03-08. Subsets of colossally abundant numbers. https://arxiv.org/abs/1903.03490

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