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Sharp lower bounds for moments of $ζ'(ρ)$

Published 6 Jun 2021 in math.NT | (2106.03057v1)

Abstract: We study the $2k$-th discrete moment of the derivative of the Riemann zeta-function at nontrivial zeros to establish sharp lower bounds for all real $k \geq 0$ under the Riemann hypothesis (RH).

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