B. Mance

activity

20092026

most citedCantor series constructions of sets of normal numbers

6 citations · 24 across the 22 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.LO2016★ 1 cited

Some complexity results in the theory of normal numbers

Dylan Airey, Bill Mance, Steve Jackson

Let $N (b)$ be the set of real numbers which are normal to base $b$ . A well-known result of H. Ki and T. Linton is that $N (b)$ is $Π_{3}^{0}$ -complete. We…

math.NT2016★ 3 cited

Normality of different orders for Cantor series expansions

Dylan Airey, Bill Mance

Let $S \subseteq N$ have the property that for each $k \in S$ the set $(S - k) \cap N ∖ S$ has asymptotic density $0$ . We prove that there exists a basic…