An explicit form of Ingham's zero density estimate

Shashi Chourasiya, Aleksander Simonič

Ingham (1940) proved that $N(\sigma ,T)\ll T^{3(1-\sigma )/(2-\sigma )}{\log }^{5}T$, where $N(\sigma ,T)$ counts the number of the non-trivial zeros $\rho$ of the Riemann zeta-function with $\Re\{ρ\}\geqσ\ge…