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arXiv · 2310.06723

Bounding zeta on the 1-line under the partial Riemann hypothesis

Andrés Chirre
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Abstract

We provide explicit bounds in the theory of the Riemann zeta-function at the line $\Re{s}=1$, assuming that the Riemann hypothesis holds until the height $T$. In particular, we improve some bounds, in finite regions, for the logarithmic derivative and the reciprocal of the Riemann zeta-function.

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Andrés Chirre. 2023-10-10. Bounding zeta on the 1-line under the partial Riemann hypothesis. https://arxiv.org/abs/2310.06723

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