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Robin's criterion on superabundant numbers
[article]

2022
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Zenodo
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A trustworthy proof for the Riemann hypothesis has been considered as the Holy Grail of Mathematics by several authors. The Riemann hypothesis is the assertion that all non-trivial zeros of the Riemann zeta function have real part $\frac{1}{2}$. Robin's criterion states that the Riemann hypothesis is true if and only if the inequality $\sigma(n) < e^{\gamma} \cdot n \cdot \log \log n$ holds for all natural numbers $n > 5040$, where $\sigma(n)$ is the sum-of-divisors function of $n$, $\gamma

doi:10.5281/zenodo.7147692
fatcat:i247uifha5bqzka45cdlcy63bm