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Sharp lower bounds for moments of $\zeta'(\rho)$

Number Theory 2021-06-08 v1

Abstract

We study the 2k2k-th discrete moment of the derivative of the Riemann zeta-function at nontrivial zeros to establish sharp lower bounds for all real k0k \geq 0 under the Riemann hypothesis (RH).

Keywords

Cite

@article{arxiv.2106.03057,
  title  = {Sharp lower bounds for moments of $\zeta'(\rho)$},
  author = {Peng Gao},
  journal= {arXiv preprint arXiv:2106.03057},
  year   = {2021}
}

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15 pages