The Takagi function and its properties (Functions in Number Theory and Their Probabilistic Aspects)

By Jeffrey C. Lagarias. 2011

90 citations recorded by the source corpus.

The Takagi function (x) is a continuous non-dierentiable function introduced by Teiji Takagi in 1903. It has appeared in a surprising number of dierent mathematical contexts, including mathematical analysis, probability theory and number theory. This paper surveys properties of this function.

View Paper: https://www.semanticscholar.org/paper/22b4c5f15f1583a539ae8891552f522cbd47fc48

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. K. Kawamura
2. P. Allaart
3. Jeffrey C. Lagarias

Citations in the corpus

• The Takagi function: a survey (2011, methodology): “ena. The things we have chosen to emphasize reflect our interests and expertise, not the importance or quality of the cited works. While we were preparing this article, we learned that Jeffrey Lagarias [49] was working on a survey paper of his own. The two surveys evolved for the most part independent”