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arXiv · 0706.2321

Lower bounds for moments of zeta prime rho

Micah B. Milinovich·Nathan Ng
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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 $ζ(s)$. 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.

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Micah B. Milinovich, Nathan Ng. 2007-06-15. Lower bounds for moments of zeta prime rho. https://arxiv.org/abs/0706.2321

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