Dense clusters of zeros near the zero-free region of \(\zeta(s)\)

DOI10.1142/s1793042124500520MaRDI QIDQ6540616

William D. Banks

Publication date: 17 May 2024

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

zbMATH Keywords

Riemann zeta functionzero-free regiondistribution of primes

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) Distribution of primes (11N05)

Cites Work

• Sur les séries de \textit{Dirichlet} correspondant à des caractères complexes.
• On the distribution of zeros of the function \(\zeta(s)\) and its arithmetical consequences
• Analytical research on the theory of prime numbers
• A divisor problem.
• Zur Abschätzung der Riemannschen Zetafunktion in der Nähe der Vertikalen \(\sigma = 1\)
• On the distribution of roots of Riemann zeta and allied functions. I
• Bemerkungen zum Heilbronnschen Satz.
• Über die Classenzahl quadratischer Zahlkörper.
• On the sums of powers of complex numbers
• Some inequalities for certain power sums
• VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION
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