Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions

DOI10.1007/978-3-319-28203-9_18zbMath1407.11098OpenAlexW2561605870MaRDI QIDQ5275973

Helmut Maier, Michael Th. Rassias

Publication date: 14 July 2017

Published in: From Arithmetic to Zeta-Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-28203-9_18

zbMATH Keywords

momentsRiemann zeta functionequidistributionDirichlet seriesRiemann hypothesisfractional partcotangent sumsEstermann zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

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• A cotangent sum related to zeros of the Estermann zeta function
• Dedekind sums and Fourier coefficients of modular forms
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• Eisenstein series and the distribution of Dedekind sums
• Trigonometric series with arithmetical coefficients
• Period functions and cotangent sums
• A generalization of Rademacher's reciprocity law
• On Mean Values for Dirichlet's Polynomials and the Riemann Zeta-Function
• ℚ-linear relations of special values of the Estermann zeta function
• On the Zeros of the Estermann Zeta-Function
• The value of the Estermann zeta functions at s=0
• Generalizations of a cotangent sum associated to the Estermann zeta function

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