Lukas Spiegelhofer

activity

20152025

most citedNormality of the Thue--Morse sequence along Piatetski-Shapiro sequences, II

21 citations · 60 across the 22 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

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…

math.NT2016

A digit reversal property for Stern polynomials

Lukas Spiegelhofer

We consider the following polynomial generalization of Stern's diatomic series: let $s_{1} (x, y) = 1$ , and for $n \geq 1$ set $s_{2 n} (x, y) = s_{n} (x, y)$ and $s_{2n+1}(x,y)=x\,s_n(x,y)+y\,s_{…

math.NT2016★ 2 cited

An explicit generating function arising in counting binomial coefficients divisible by powers of primes

Lukas Spiegelhofer, Michael Wallner

For a prime $p$ and nonnegative integers $j$ and $n$ let $ϑ_{p} (j, n)$ be the number of entries in the $n$ -th row of Pascal's triangle that are exactly divisible by $p^{j}$ . Mor…