Lower bounds for moments of zeta prime rho

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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.
7 pages

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Number Theory, 11M06,11M26

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http://salesiana.dossiersoluciones.com/handle/123456789/131833

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.2321
 http://arxiv.org/abs/0706.2321

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arXiv