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arXiv · 2312.09412

Explicit estimates for the Riemann zeta function close to the $1$-line

Michaela Cully-Hugill·Nicol Leong
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Abstract

We provide explicit upper bounds of the order $\log t/\log\log t$ for $|\zeta'(s)/\zeta(s)|$ and $|1/\zeta(s)|$ when $\sigma$ is close to $1$. These improve existing bounds for $\zeta(s)$ on the $1$-line.

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Michaela Cully-Hugill, Nicol Leong. 2023-12-15. Explicit estimates for the Riemann zeta function close to the $1$-line. https://arxiv.org/abs/2312.09412

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