Lukas Spiegelhofer

most citedPseudorandomness of the Ostrowski sum-of-digits function

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2023★ 1 cited

Thue--Morse along the sequence of cubes

Lukas Spiegelhofer

The Thue--Morse sequence $t = 01101001 \dots$ is an automatic sequence over the alphabet ${0, 1}$ . It can be defined as the binary sum-of-digits function $s:\mathbb N\rightarrow\mat…

math.NT2023

Block occurrences in the binary expansion

Bartosz Sobolewski, Lukas Spiegelhofer

The binary sum-of-digits function $s$ returns the number of ones in the binary expansion of a nonnegative integer. Cusick's Hamming weight conjecture states that, for all…

math.NT2016★ 2 cited

Pseudorandomness of the Ostrowski sum-of-digits function

Lukas Spiegelhofer

For an irrational $α \in (0, 1)$ , we investigate the Ostrowski sum-of-digits function $σ_{α}$ . For $α$ having bounded partial quotients and $ϑ \in R ∖ Z$ , we…