• Corpus ID: 123469736

# Selfsimilarity of "Riemann's nondifferentiable function"

@inproceedings{Duistermaat1994SelfsimilarityO,
title={Selfsimilarity of "Riemann's nondifferentiable function"},
author={Johannes Jisse Duistermaat},
year={1994}
}
This is an expository article about the series f(x) = 1 X n=1 1 n 2 sin(n 2 x); which according to Weierstrass was presented by Riemann as an example of a continuous function without a derivative. An explanation is given of innitely many selfsimilarities of the graph, from which the known results about the dierentiability properties of f(x) are obtained as a consequence.
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