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Corpus ID: 16605615

Lower bounds for moments of zeta prime rho

@article{Milinovich2007LowerBF,
title={Lower bounds for moments of zeta prime rho},
author={M. Milinovich and Nathan Ng},
journal={arXiv: Number Theory},
year={2007}
}

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.