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

Nikita Derevyanko (), Kirill Kovalenko () and Maksim Zhukovskii ()
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Nikita Derevyanko: Moscow Institute of Physics and Technology
Kirill Kovalenko: National Research University Higher School of Economics
Maksim Zhukovskii: Moscow Institute of Physics and Technology, Laboratory of Advanced Combinatorics and Network Applications

A chapter in Trigonometric Sums and Their Applications, 2020, pp 1-28 from Springer

Abstract: Abstract The purpose of the present paper is to provide a general overview of a variety of results related to a category of cotangent sums which have been proven to be associated to the so-called Nyman-Beurling criterion for the Riemann Hypothesis. These sums are also related to the Estermann Zeta function.

Keywords: Cotangent sums; Riemann zeta function; Vasyunin sums; Estermann zeta function; Riemann Hypothesis; Dedekind sums; Nyman-Beurling-Báez-Duarte criterio (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_1

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DOI: 10.1007/978-3-030-37904-9_1

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