On the Zeros of the Riemann Zeta Function in the Critical Strip

DOI10.2307/2006473zbMath0422.10031OpenAlexW4245315296WikidataQ56443173 ScholiaQ56443173MaRDI QIDQ3855268

Richard P. Brent

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006473

zbMATH Keywords

Riemann zeta-functionRiemann hypothesisnon-trivial zerosRiemann-Siegel formulaRosser's ruleGram blocksTuring's theorem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Software, source code, etc. for problems pertaining to number theory (11-04) Software, source code, etc. for problems pertaining to functions of a complex variable (30-04)

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Uses Software

• OEIS

Cites Work

• On the roots of the Riemann zeta-function
• Extreme values of the Riemann zeta function
• Extended computation of the Riemann zeta‐function
• Notes on small class numbers
• Separation of Zeros of the Riemann Zeta-Function
• On the Distribution of Zeros of the Riemann Zeta-Function
• The zeros of the Riemann zeta-function
• Some Calculations of the Riemann Zeta-Function
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