Lower Bounds for Moments of ζ′(ρ)

DOI10.1093/imrn/rnt028zbMath1296.11109arXiv0706.2321OpenAlexW2187316627MaRDI QIDQ2878726

Micah B. Milinovich, Nathan Ng

Publication date: 5 September 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2321

zbMATH Keywords

Riemann zeta-functionlower boundDirichlet \(L\)-function\(2k\)th moment

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (8)

Mean values of derivatives of \(L\)-functions in function fields. II. ⋮ The distribution of weighted sums of the Liouville function and Pólya's conjecture ⋮ Lower bounds of discrete moments of the derivatives of the Riemann zeta-function on the critical line ⋮ Lower bounds for negative moments of ζ′(ρ)$\zeta ^{\prime }(\rho )$ ⋮ Upper bounds for discrete moments of the derivatives of the Riemann zeta-function on the critical line ⋮ The distribution of values of zeta and \(L\)-functions ⋮ Lower bounds for discrete negative moments of the Riemann zeta function ⋮ Gaps between zeros of \(\mathrm{GL}(2)\) \(L\)-functions

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