A Discrete Mean Value of the Derivative of the Riemann Zeta Function

DOI10.1112/S0025579300000255zbMath1170.11026arXiv0706.1763OpenAlexW2963034788MaRDI QIDQ3515270

Nathan Ng

Publication date: 29 July 2008

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1763

zbMATH Keywords

Riemann hypothesisDirichlet L-functionsdiscrete mean valuederivative of the Rieman zeta-functionlarge zero-free region conjecture

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (5)

NEGATIVE VALUES OF THE RIEMANN ZETA FUNCTION ON THE CRITICAL LINE ⋮ Lower bounds of discrete moments of the derivatives of the Riemann zeta-function on the critical line ⋮ Lower bounds for discrete negative moments of the Riemann zeta function ⋮ Small values of the Riemann zeta function on the critical line ⋮ Large values of Dirichlet L-functions at zeros of a class of L-functions

Cites Work

• Mean values of the Riemann zeta-function and its derivatives
• The fourth moment of \(\zeta'(\rho)\)
• Large gaps between the zeros of the Riemann zeta function
• Multiplicative Number Theory I
• Mean Value Theorems in Prime Number Theory
• Simple Zeros of the Riemann Zeta-Function
• The distribution of the summatory function of the Möbius function
• Lower bounds for moments of L -functions
• On a conjecture of Shanks

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