P. Allaart

activity

20062023

most citedOn the continuity of the Hausdorff dimension of the univoque set

17 citations · 59 across the 22 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.CA2012

Level sets of signed Takagi functions

Pieter C. Allaart

This paper examines level sets of functions of the form $f (x) = \sum_{n = 0}^{\infty} \frac{r _{n}}{2 ^{n}} ϕ (2^{n} x)$ , where phi(x) is the distance from x to the nearest integer, and r_n equals…

math.NT2012

Digital sum inequalities and approximate convexity of Takagi-type functions

Pieter C. Allaart

For an integer b>=2, let s_b(n) be the sum of the digits of the integer n when written in base b, and let S_b(N) be the sum of s_b(n) over n=0,...,N-1, so that S_b(N) is the sum of…