On a Category of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis

DOI10.1007/978-3-030-37904-9_1zbMath1444.11176arXiv1811.04399OpenAlexW2900139045MaRDI QIDQ3296676

M. E. Zhukovskii, Nikita Derevyanko, Kirill E. Kovalenko

Publication date: 1 July 2020

Published in: Trigonometric Sums and Their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04399

zbMATH Keywords

Riemann zeta functionDedekind sumsRiemann hypothesiscotangent sumsEstermann zeta functionNyman-Beurling-Báez-Duarte criterionVasyunin sums

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Trigonometric and exponential sums (general theory) (11L03)

Related Items (1)

Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums

Cites Work

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• Asymptotics for moments of certain cotangent sums
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• Generalizations of a cotangent sum associated to the Estermann zeta function

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