Lower bounds for moments of zeta prime rho

Abstract

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.

7 pages

References in corpus (1)

• A discrete mean value of the derivative of the Riemann zeta function