# Explicit estimates for $\zeta(s)$ in the critical strip under the Riemann Hypothesis

@inproceedings{Simonivc2021ExplicitEF, title={Explicit estimates for \$\zeta(s)\$ in the critical strip under the Riemann Hypothesis}, author={Aleksander Simonivc}, year={2021} }

Assuming the Riemann Hypothesis, we provide effective upper and lower estimates for |ζ(s)| right to the critical line. As an application we make explicit Titchmarsh’s conditional bound for the Mertens function and Montgomery–Vaughan’s conditional bound for the number of k-free numbers.

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