The Differentiability of the Riemann Function at Certain Rational Multiples of &#960

DOI10.2307/2373496zbMath0203.05904OpenAlexW2325716611MaRDI QIDQ5601557

Joseph L. Gerver

Publication date: 1970

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373496

Related Items (43)

Riemann's non-differentiable function and the binormal curvature flow ⋮ 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 ⋮ Local L^2-regularity of Riemann’s Fourier series ⋮ On Riemann ``nondifferentiable function and Schrödinger equation ⋮ The Hölder exponent of some Fourier series ⋮ Functional equations and characterizations of Riemann's function ⋮ A class of nowhere differentiable functions satisfying some concavity-type estimate ⋮ Lattice points ⋮ The pointwise behavior of Riemann's function ⋮ Stationary phase method, powers of functions, and applications to functional analysis ⋮ Quadratic Reciprocity and Some “Non-differentiable” Functions ⋮ Multifractal behavior of polynomial Fourier series ⋮ Differentiability of Riemann's function ⋮ Pointwise analysis of Riemann's ``nondifferentiable function ⋮ Signal processing and mathematical analysis ⋮ Intermittency of Riemann’s non-differentiable function through the fourth-order flatness ⋮ Quadratic reciprocity and Riemann's non-differentiable function ⋮ On the Hausdorff dimension of Riemann’s non-differentiable function ⋮ Some Fourier series with gaps ⋮ Differentiability of arithmetic Fourier series arising from Eisenstein series ⋮ Weierstraß's lecture on the ``Introduction to the theory of analytical functions ⋮ The differentiability of Fourier gap series and ``Riemann's example of a continuous, nondifferentiable function ⋮ On cubic lacunary Fourier series ⋮ Some geometric properties of Riemann's non-differentiable function ⋮ Riemann's example of a continuous, 'nondifferentiable' function ⋮ Der Nachlaß von Casorati (1835 - 1890) in Pavia ⋮ Unnamed Item ⋮ About the uniform Hölder continuity of generalized Riemann function ⋮ Riemann's example of a continuous nondifferentiable function continued ⋮ Multifractal Analysis and Wavelets ⋮ Automorphic forms and differentiability properties ⋮ Un demi-siècle de fractales: 1870-1920. (Half-a-century of fractals: 1870-1920) ⋮ On the regularity of fractional integrals of modular forms ⋮ Geometric differentiability of Riemann's non-differentiable function ⋮ Differentiability and dimension of some fractal Fourier series ⋮ Éléments d'analyse de Karl Weierstrass ⋮ Discrete analogues in harmonic analysis. II: Fractional integration ⋮ Transition mean values of real characters ⋮ Weierstrass and approximation theory ⋮ Über trigonometrische Reihen mit zahlentheoretischen Koeffizienten. (On some trigonometric series with number theoretic coefficients) ⋮ Inferring the smoothness of the autocorrelation function from that of the initial state ⋮ Some results of multifractale analysis in analysis

This page was built for publication: The Differentiability of the Riemann Function at Certain Rational Multiples of &#960