Monotonicity properties of the Riemann zeta function

DOI10.1007/s00009-011-0128-6zbMath1329.11086OpenAlexW1970782004MaRDI QIDQ1758626

Horst Alzer

Publication date: 15 November 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0128-6

zbMATH Keywords

monotonicityRiemann zeta functionMöbius functioninequalities

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Inequalities for sums, series and integrals (26D15) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (3)

Horizontal monotonicity of the modulus of the zeta function, L-functions, and related functions ⋮ Unnamed Item ⋮ The size of the Lerch zeta-function at places symmetric with respect to the line $\Re(s)=1/2$

Uses Software

• Maple

Cites Work

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• Convexité, complète monotonie et inégalités sur les fonctions zèta et gamma, sur les fonctions des opérateurs de Baskakov et sur des fonctions arithmétiques
• Analytic Inequalities

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