On the function \(S(T)\) in the theory of the Riemann zeta-function

DOI10.1016/0022-314X(87)90059-XzbMath0618.10037MaRDI QIDQ1089039

Daniel Alan Goldston

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

functional equationRiemann zeta-functionRiemann hypothesisDirichlet polynomialspair-correlation functiongeneralized Hilbert inequality

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)

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Cites Work

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• Extreme values of the Riemann zeta function
• On the Riemann zeta-function -- mean value theorems and the distribution of \(|S(T)|\)
• On the differences between consecutive prime numbers, I
• Gaps between primes, and the pair correlation of zeros of the zeta-function
• On Wiener's Method in Tauberian Theorems
• Hilbert's Inequality
• On a result of Littlewood concerning prime numbers
• Primes in arithmetic progressions