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

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Showing 2015Show all

3 papers · 1 filter

math.CO2015

The maximal order of hyper-( $b$ -ary)-expansions

Michael Coons, Lukas Spiegelhofer

Using methods developed by Coons and Tyler, we give a new proof of a recent result of Defant, by determining the maximal order of the number of hyper-( $b$ -ary)-expansions of a nonn…

math.NT2015★ 21 cited

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

Clemens Müllner, Lukas Spiegelhofer

We prove that the Thue--Morse sequence $t$ along subsequences indexed by $⌊ n^{c} ⌋$ is normal, where $1 < c < 3/2$ . That is, for $c$ in this range and for each $ω\in\…

math.CO2015

On a Conjecture of Cusick Concerning the Sum of Digits of n and n + t

Michael Drmota, Manuel Kauers, Lukas Spiegelhofer

For a nonnegative integer $t$ , let $c_{t}$ be the asymptotic density of natural numbers $n$ for which $s (n + t) \geq s (n)$ , where $s (n)$ denotes the sum of digits of $n$ in base $2$ .…

The maximal order of hyper-(b-ary)-expansions

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

On a Conjecture of Cusick Concerning the Sum of Digits of n and n + t

The maximal order of hyper-( $b$ -ary)-expansions