Uniform approximations and zeros of the derivatives of the Hardy \(Z\)- function in short intervals

DOI10.1007/BF01905933zbMath0774.11049OpenAlexW2314201116MaRDI QIDQ1261254

A. A. Lavrik

Publication date: 1 September 1993

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01905933

zbMATH Keywords

Riemann zeta-functionapproximate functional equationsHardy's \(Z\)-functionzeros in short intervals

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (5)

On the Riemann–Siegel formula for the derivatives of the Hardy function ⋮ Scientific achievements of Anatolii Alekseevich Karatsuba ⋮ The Second Moment of the First Derivative of Hardy’s Z-Function ⋮ On the zeros of higher derivatives of Hardy's \(Z\)-function ⋮ Optimal upper bound for the maximum of the \(k\)-th derivative of Hardy's function

Cites Work

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• On the function \(Z(t)\) associated with the Riemann zeta-function
• The Brauer-Manin Obstruction and III[2]

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