The Differentiability of Riemann's Function

DOI10.2307/2038391zbMath0254.26013OpenAlexW2988884866MaRDI QIDQ5669020

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Publication date: 1972

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2038391

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric and exponential sums (general theory) (11L03) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (13)

Functional equations for peculiar functions ⋮ Remarks on `Riemann's example' \(\sum_{n=1}^ \infty {\sin n^ 2x\over n^ 2}\) of a continuous, non-differentiable function ⋮ Functional equations and characterizations of Riemann's function ⋮ The pointwise behavior of Riemann's function ⋮ Quadratic Reciprocity and Some “Non-differentiable” Functions ⋮ Quadratic reciprocity and Riemann's non-differentiable function ⋮ On the Hausdorff dimension of Riemann’s non-differentiable function ⋮ The differentiability of Fourier gap series and ``Riemann's example of a continuous, nondifferentiable function ⋮ Unnamed Item ⋮ About the uniform Hölder continuity of generalized Riemann function ⋮ Riemann's example of a continuous nondifferentiable function continued ⋮ Transition mean values of real characters ⋮ Über trigonometrische Reihen mit zahlentheoretischen Koeffizienten. (On some trigonometric series with number theoretic coefficients)

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