Inequalities for Riemann's zeta function

DOI10.4171/PM/1846zbMath1201.11086OpenAlexW2048290940MaRDI QIDQ838406

Horst Alzer

Publication date: 25 August 2009

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1846

zbMATH Keywords

Riemann zeta functioninequalitiesDirichlet seriesvon Mangoldt functionEuler totient function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Inequalities for sums, series and integrals (26D15)

Related Items (3)

Resolution of a conjecture on the convexity of zeta functions ⋮ Monotonicity properties of the Riemann zeta function ⋮ Unnamed Item

Cites Work

• Remark on a double-inequality for the Riemann zeta function
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• Euler and the Zeta Function
• Some convexity properties of Dirichlet series with positive terms
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