Explicit zero density estimate for the Riemann zeta-function near the critical line

Aleksander Simonič

In 1946, A. Selberg proved $N(\sigma ,T)\ll T^{1-\frac{1}{4}\left(\sigma -\frac{1}{2}\right)}\log T$ where $N(\sigma ,T)$ is the number of nontrivial zeros $\rho$ of the Riemann zeta-function with…