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arXiv · 1809.10813

Robin's inequality for 20-free integers

Thomas Morrill·David Platt
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Abstract

In 1984, Robin showed that the Riemann Hypothesis for $\zeta$ is equivalent to demonstrating $\sigma(n) < e^\gamma n \log \log n$ for all $n > 5040$. Robin's inequality has since been proven for various infinite families of power-free integers: $5$-free integers, $7$-free integers, and $11$-free integers. We extend these results to cover $20$-free integers.

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Thomas Morrill, David Platt. 2018-09-28. Robin's inequality for 20-free integers. https://arxiv.org/abs/1809.10813

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