Riemann's hypothesis via Robin's Theorem
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909133257572352 |
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| author | Martila, Dmitri Groote, Stefan |
| author_facet | Martila, Dmitri Groote, Stefan |
| contents | 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 $F={\rm e}^γ\,\ln(\ln\,n)-σ(n)/n$ is found to be positive. Therefore, $F>0$ holds for any $n>5040$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07635 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Riemann's hypothesis via Robin's Theorem Martila, Dmitri Groote, Stefan Number Theory 11M26, 11M06 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 $F={\rm e}^γ\,\ln(\ln\,n)-σ(n)/n$ is found to be positive. Therefore, $F>0$ holds for any $n>5040$. |
| title | Riemann's hypothesis via Robin's Theorem |
| topic | Number Theory 11M26, 11M06 |
| url | https://arxiv.org/abs/2401.07635 |