Trigonometric series with arithmetical coefficients
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Publication:1884388
DOI10.1007/BF02787756zbMath1171.11319OpenAlexW2332816188MaRDI QIDQ1884388
Régis de la Bretèche, Gérald Tenenbaum
Publication date: 1 November 2004
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02787756
Related Items (27)
Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions ⋮ On Bell polynomials associated to Vasyunin cotangent sums ⋮ On the convergence of Diophantine Dirichlet series ⋮ The rate of growth of moments of certain cotangent sums ⋮ Harmonic Analysis of Some Arithmetical Functions ⋮ Extremality Properties of Some Diophantine Series ⋮ Refinements of Gál's theorem and applications ⋮ Dérivabilité ponctuelle d’une intégrale liée aux fonctions de Bernoulli ⋮ 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 ⋮ Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture ⋮ 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 kth root partition function ⋮ Friable exponential sums with rational arguments ⋮ Generalizations of a cotangent sum associated to the Estermann zeta function ⋮ Sur l'inégalité de Turán-Kubilius friable ⋮ Fast and strongly localized observation for the Schrödinger equation ⋮ Distribution of a cotangent sum related to the Nyman-Beurling criterion for the Riemann hypothesis ⋮ Théorème de Jordan Friable ⋮ On the non-vanishing of certain Dirichlet series ⋮ Power partitions and saddle-point method ⋮ A remark on Ramanujan sums. ⋮ Study of the multiplicative autocorrelation of the fractional part function ⋮ The order of magnitude for moments for certain cotangent sums ⋮ Remarks on the Selberg–Delange method
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