# The Takagi Function and Its Properties

- Published in 2011
- Added on

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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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### BibTeX entry

@article{TheTakagiFunctionandItsProperties, title = {The Takagi Function and Its Properties}, 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.}, url = {http://arxiv.org/abs/1112.4205v2 http://arxiv.org/pdf/1112.4205v2}, year = 2011, author = {Jeffrey C. Lagarias}, comment = {}, urldate = {2019-03-04}, archivePrefix = {arXiv}, eprint = {1112.4205}, primaryClass = {math.CA}, collections = {easily-explained,fun-maths-facts} }