2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131833Assuming the Riemann Hypothesis, we establish lower bounds for moments of the derivative of the Riemann zeta-function averaged over the non-trivial zeros of $ΞΆ(s)$. 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 pagesNumber Theory11M06,11M26Lower bounds for moments of zeta prime rhotext