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

Andr\'es Chirre

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

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arxiv 2310.06723 v2 pith:FCNZNBCL submitted 2023-10-10 math.NT

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

Andr\'es Chirre This is my paper

classification math.NT

keywords riemannboundshypothesislinezeta-functionassumingboundingderivative

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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.

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

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