The Takagi Function and Its Properties

• Published in 2011
• Added on 2019-03-04

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.

Links

• http://arxiv.org/abs/1112.4205v2
• http://arxiv.org/pdf/1112.4205v2

Other information

BibTeX entry

@article{TheTakagiFunctionandItsProperties,
	key = {TheTakagiFunctionandItsProperties},
	type = {article},
	title = {The Takagi Function and Its Properties},
	author = {Jeffrey C. Lagarias},
	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.},
	comment = {},
	date_added = {2019-03-04},
	date_published = {2011-12-07},
	urls = {http://arxiv.org/abs/1112.4205v2,http://arxiv.org/pdf/1112.4205v2},
	collections = {Easily explained,Fun maths facts},
	url = {http://arxiv.org/abs/1112.4205v2 http://arxiv.org/pdf/1112.4205v2},
	year = 2011,
	urldate = {2019-03-04},
	archivePrefix = {arXiv},
	eprint = {1112.4205},
	primaryClass = {math.CA}
}