The rate of growth of moments of certain cotangent sums

DOI10.1007/S00010-015-0361-3zbMath1345.26006arXiv1411.2187OpenAlexW928074064MaRDI QIDQ291291

Michael Th. Rassias, Helmut Maier

Publication date: 7 June 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2187

zbMATH Keywords

momentsequidistributionmeasurecontinued fractionsseriescotangent sumsEstermann zeta function

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (9)

The maximum of cotangent sums related to Estermann’s zeta function in rational numbers is short intervals ⋮ Cotangent Sums Related to the Riemann Hypothesis for Various Shifts of the Argument ⋮ Estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis ⋮ The Maximum of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis ⋮ Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis ⋮ General order Euler sums with multiple argument ⋮ Generalizations of a cotangent sum associated to the Estermann zeta function ⋮ On the maximum of cotangent sums related to the Riemann hypothesis in rational numbers in short intervals ⋮ The order of magnitude for moments for certain cotangent sums

Cites Work

• Trigonometric series with arithmetical coefficients
• On the Distribution of a Cotangent Sum: Fig. 1.
• Generalizations of a cotangent sum associated to the Estermann zeta function
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