Remarks on `Riemann's example' \(\sum_{n=1}^ \infty {\sin n^ 2x\over n^ 2}\) of a continuous, non-differentiable function

DOI10.1007/BF03322163zbMath0874.01003MaRDI QIDQ1358745

Peter Ullrich

Publication date: 11 November 1997

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemanntheta seriesnon-differentiabilityKroneckerWeierstraß

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of real functions (26-03) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items

Quadratic Reciprocity and Some “Non-differentiable” Functions ⋮ Quadratic reciprocity and Riemann's non-differentiable function ⋮ Weierstrass and approximation theory

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