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Lower bounds of discrete moments of the derivatives of the Riemann zeta-function on the critical line

Lower bounds of discrete moments of the derivatives of the Riemann zeta-function on the critical line

We establish unconditional lower bounds for certain discrete moments of the Riemann zeta-function and its derivatives on the critical line. We use these discrete moments to give unconditional lower bounds for the continuous moments I k,l (T)=∫ 0 T |ζ (l) (1 2+it)| 2k dt, where l is a non-negative …