Lower bounds for moments of zeta prime rho

Details Lower bounds for moments of zeta prime rho Lower bounds for moments of zeta prime rho

2007-06-15

arxiv.org/abs/0706.2321v1

Mathematics

Number Theory

7 pages

Scientific paper

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.

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