Computational estimation of the order of $\zeta (\frac {1}{2}+it)$

DOI10.1090/S0025-5718-03-01568-0zbMath1048.11068OpenAlexW2039734086WikidataQ61856066 ScholiaQ61856066MaRDI QIDQ4452172

Tadej Kotnik

Publication date: 12 February 2004

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01568-0

zbMATH Keywords

critical lineRiemann's zeta-functionLindelöf's hypothesis

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) Analytic computations (11Y35) Tables in numerical analysis (65A05)

Related Items (3)

Lower bounds for the maximum of the Riemann zeta function along vertical lines ⋮ Computational estimation of the constant $\beta (1)$ characterizing the order of $\zeta (1+it)$ ⋮ The maximum size of L-functions

Uses Software

• ZetaGrid

Cites Work

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• Fast Algorithms for Multiple Evaluations of the Riemann Zeta Function
• Exponential Sums and the Riemann Zeta Function IV

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