Explicit estimates for the Riemann zeta function close to the $1$-line
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911933049864192 |
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| author | Cully-Hugill, Michaela Leong, Nicol |
| author_facet | Cully-Hugill, Michaela Leong, Nicol |
| contents | We provide explicit upper bounds of the order $\log t/\log\log t$ for $|ζ'(s)/ζ(s)|$ and $|1/ζ(s)|$ when $σ$ is close to $1$. These improve existing bounds for $ζ(s)$ on the $1$-line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09412 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Explicit estimates for the Riemann zeta function close to the $1$-line Cully-Hugill, Michaela Leong, Nicol Number Theory 11M06 We provide explicit upper bounds of the order $\log t/\log\log t$ for $|ζ'(s)/ζ(s)|$ and $|1/ζ(s)|$ when $σ$ is close to $1$. These improve existing bounds for $ζ(s)$ on the $1$-line. |
| title | Explicit estimates for the Riemann zeta function close to the $1$-line |
| topic | Number Theory 11M06 |
| url | https://arxiv.org/abs/2312.09412 |