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arXiv · 1112.4205

The Takagi Function and Its Properties

Jeffrey C. Lagarias
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Abstract

The Takagi function is a continuous non-differentiable function on [0,1] introduced by Teiji Takagi in 1903. It has since appeared in a surprising number of different mathematical contexts, including mathematical analysis, probability theory and number theory. This paper surveys the known properties of this function as it relates to these fields.

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Jeffrey C. Lagarias. 2012-01-03. The Takagi Function and Its Properties. https://arxiv.org/abs/1112.4205

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