The Second Moment of the First Derivative of Hardy’s Z-Function

Maxim A. Korolev () and Andrei V. Shubin ()
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Maxim A. Korolev: Steklov Mathematical Institute of Russian Academy of Sciences
Andrei V. Shubin: McGill University, Department of Mathematics and Statistics

A chapter in Trigonometric Sums and Their Applications, 2020, pp 169-182 from Springer

Abstract: Abstract We give a new estimate of the error term in the asymptotic formula for the second moment of first derivative of Hardy’s function Z(t). This estimate improves the previous result of R.R. Hall.

Keywords: Riemann zeta-function; Hardy’s Z-function; Approximate functional equation; Second moment; Third derivative test (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-37904-9_9

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DOI: 10.1007/978-3-030-37904-9_9

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