In 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 $\zeta'(\rho)$ where $\zeta(s)$ is the Riemann zeta function and $\rho$ is a non-trivial zero of the Riemann zeta function.
Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function
The zeros of the derivative of the Riemann zeta function near the critical line
A discrete mean value of the Riemann zeta function
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