Zeros of normalized combinations of \(\xi^{(k)}(s)\) on \(\mathrm{Re}(s)=1/2\)

DOI10.1016/J.JMAA.2017.12.045zbMath1406.11080OpenAlexW2775844592MaRDI QIDQ1706572

Amita Malik, Alexandru Zaharescu, Sneha Chaubey, Nicolas Robles

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.045

zbMATH Keywords

zeroscritical lineproportionRiemann \(\xi\)-functionmollifiernormalized combinations

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (2)

On mean values of mollifiers and \(L\)-functions associated to primitive cusp forms ⋮ More than five-twelfths of the zeros of \(\zeta\) are on the critical line

Cites Work

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• More than two fifths of the zeros of the Riemann zeta function are on the critical line.
• Simple Zeros of the Riemann Zeta-Function on the Critical Line
• On simple zeros of derivatives of the Riemann $ \xi$-function

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