Some Analogues of Pair Correlation of Zeta Zeros

DOI10.1007/978-3-319-59969-4_7zbMath1496.11115OpenAlexW2756136362MaRDI QIDQ5038228

Yunus Karabulut, Cem Yalçın Yıldırım

Publication date: 30 September 2022

Published in: Exploring the Riemann Zeta Function (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59969-4_7

zbMATH Keywords

Riemann Hypothesispair correlation of zeta zeros

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)

Cites Work

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• On the function \(S(T)\) in the theory of the Riemann zeta-function
• Study of the local law of \(\omega (n)\) in small intervals
• On the differences between consecutive prime numbers, I
• Pair correlation of the zeros of the derivative of the Riemann ξ -function
• Conversations on the Exceptional Character
• Pair correlation of zeros of the zeta function.
• A Mean Value Theorem for the Riemann Zeta-Function at its Relative Extrema on the Critical Line
• On the pair correlation conjecture for zeros of the Riemann zeta-function.
• Hilbert's Inequality
• On the stationary points of Hardy's function Z(t)
• Notes on pair correlation of zeros and prime numbers

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