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arXiv · 2208.06922

Lower bounds for negative moments of $\zeta'(\rho)$

Peng Gao·Liangyi Zhao
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Abstract

We establish lower bounds for the discrete $2k$-th moment of the derivative of the Riemann zeta function at nontrivial zeros for all $k<0$ under the Riemann hypothesis (RH) and the assumption that all zeros of $\zeta(s)$ are simple.

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Peng Gao, Liangyi Zhao. 2022-08-14. Lower bounds for negative moments of $\zeta'(\rho)$. https://doi.org/10.1112/mtk.12219

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