Micah B. Milinovich, Nathan Ng
Published 2007-06-15Version 1
Assuming the Riemann Hypothesis, we establish lower bounds for moments of the derivative of the Riemann zeta-function averaged over the non-trivial zeros of $\zeta(s)$. Our proof is based upon a recent method of Rudnick and Soundararajan that provides analogous bounds for moments of $L$-functions at the central point, averaged over families.
Upper bounds for the moments of zeta prime rho
The sixth moment of Dirichlet L-functions at the central point
A weighted one-level density of the non-trivial zeros of the Riemann zeta-function
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