Riemann's hypothesis via Robin's Theorem

Dmitri Martila; Stefan Groote

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arXiv · 2401.07635

Riemann's hypothesis via Robin's Theorem

Dmitri Martila·Stefan Groote

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Abstract

As essential condition for the validy of Robin's Theorem as a precondition for the proof of the Riemann hypothesis, we show that the minimum of the function $F={\rm e}^{\gamma}\,\ln(\ln\,n)-\sigma(n)/n$ is found to be positive. Therefore, $F>0$ holds for any $n>5040$.

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Dmitri Martila, Stefan Groote. 2024-01-15. Riemann's hypothesis via Robin's Theorem. https://arxiv.org/abs/2401.07635

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