2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130258In this article we compute a discrete mean value of the derivative of the Riemann zeta function. This mean value will be important for several applications concerning the size of $ζ'(ρ)$ where $ζ(s)$ is the Riemann zeta function and $ρ$ is a non-trivial zero of the Riemann zeta function.41 pagesNumber Theory11M26A discrete mean value of the derivative of the Riemann zeta functiontext