On the derivatives of Hardy's function Z(t)

DOI10.1112/blms.12859arXiv2304.05178MaRDI QIDQ6064904

Hung Manh Bui, Richard R. Hall

Publication date: 11 December 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.05178

zbMATH Keywords

Riemann zeta functionHardy function

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)

A note on the zeros of the derivatives of Hardy's function Z(t)$Z(t)$

Cites Work

• On the zeros of Riemann's zeta-function on the critical line
• On the distribution of positive and negative values of Hardy's \(Z\)-function
• Large gaps between consecutive zeros of the Riemann zeta-function
• The effect of repeated differentiation on \(L\)-functions
• Some four dimensional definite integrals arising from zeta-function theory
• A quadratic divisor problem and moments of the Riemann zeta-function
• The Riemann \(\Xi\)-function under repeated differentiation
• More than 41% of the zeros of the zeta function are on the critical line
• More than two fifths of the zeros of the Riemann zeta function are on the critical line.
• Differentiation evens out zero spacings
• Gaps between zeros of the Riemann zeta-function
• The behaviour of the Riemann zeta‐function on the critical line
• Applications of theL-functions ratios conjectures

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