AN UPPER BOUND FOR DISCRETE MOMENTS OF THE DERIVATIVE OF THE RIEMANN ZETA‐FUNCTION

DOI10.1112/mtk.12008zbMath1442.11123arXiv1804.08826OpenAlexW2798955925MaRDI QIDQ5112843

Scott Kirila

Publication date: 9 June 2020

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08826

zbMATH Keywords

Riemann hypothesisnon-trivial zeroRiemann zeta\(k\)-th momentum

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 (6)

Weighted value distributions of the Riemann zeta function on the critical line ⋮ Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli ⋮ Lower bounds for negative moments of ζ′(ρ)$\zeta ^{\prime }(\rho )$ ⋮ Lower bounds for discrete negative moments of the Riemann zeta function ⋮ Bounds for moments of cubic and quartic Dirichlet \(L\)-functions ⋮ Moments of quadratic Dirichlet \(L\)-functions over function fields

Cites Work

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• Mean values of the Riemann zeta-function and its derivatives
• On the distribution of imaginary parts of zeros of the Riemann zeta function. II
• A hybrid Euler-Hadamard product and moments of \(\zeta'(\rho)\)
• On simple zeros of the Riemann zeta-function
• On the Zeros of Dirichlet L-Functions. III
• Simple Zeros of the Riemann Zeta-Function
• On the distribution of imaginary parts of zeros of the Riemann zeta function

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