# The Takagi Function and Its Properties

• Published in 2011
In the collections
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.

### 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}
}