Mean values of the logarithmic derivative of the Riemann zeta‐function near the critical line

DOI10.1112/mtk.12194arXiv2211.08571OpenAlexW4360610522MaRDI QIDQ6075476

Fan Ge

Publication date: 20 September 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.08571

zbMATH Keywords

Riemann hypothesisMontgomery's pair correlation conjectureessential simplicity hypothesisgaps between 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)

Related Items (1)

On the logarithmic derivative of characteristic polynomials for random unitary matrices

Cites Work

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• Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals
• MEAN VALUES OF  '/ (s), CORRELATIONS OF ZEROS AND THE DISTRIBUTION OF ALMOST PRIMES
• The Zeros of the Derivative of the Riemann Zeta Function Near the Critical Line
• Mixed moments of characteristic polynomials of random unitary matrices
• Random matrix theory and \(\zeta(1/2+it)\).

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