The Takagi Function and Its Properties
Abstract
The Takagi function is a continuous nondifferentiable 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2011
 arXiv:
 arXiv:1112.4205
 Bibcode:
 2011arXiv1112.4205L
 Keywords:

 Mathematics  Classical Analysis and ODEs;
 Mathematics  Number Theory;
 26A27 (Primary) 11A63;
 11M26;
 26A16;
 28A78;
 28A80;
 60B15 (Secondary)
 EPrint:
 32 pages, 4 figures