Asymptotics for moments of certain cotangent sums

zbMath1432.11108arXiv1606.03131MaRDI QIDQ5271479

Helmut Maier, Michael Th. Rassias

Publication date: 11 July 2017

Full work available at URL: https://arxiv.org/abs/1606.03131

zbMATH Keywords

momentsRiemann zeta functionequidistributionmeasureKloosterman sumcontinued fractionscotangent sumsRiemann HypothesisEstermann's zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Trigonometric and exponential sums (general theory) (11L03) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (7)

The maximum of cotangent sums related to Estermann’s zeta function in rational numbers is short intervals ⋮ On certain approximate functional equations that are related to the Gauss transformation ⋮ 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 ⋮ On a Category of Cotangent 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

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