Asymptotics for moments of certain cotangent sums for arbitrary exponents

zbMath1390.33002arXiv1612.01391MaRDI QIDQ4643353

Helmut Maier, Michael Th. Rassias

Publication date: 24 May 2018

Full work available at URL: https://arxiv.org/abs/1612.01391

zbMATH Keywords

momentsRiemann zeta functionmeasurecotangent sumsEstermann zeta functionWilton number

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 (5)

On certain approximate functional equations that are related to the Gauss transformation ⋮ 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 ⋮ Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis ⋮ On the maximum of cotangent sums related to the Riemann hypothesis in rational numbers in short intervals

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