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 2019Show all

3 papers · 1 filter

math.NT2019★ 2 cited

A lower bound for Cusick's conjecture on the digits of n+t

Lukas Spiegelhofer

Let $s$ be the sum-of-digits function in base $2$ , which returns the number of $1$ s in the base-2 expansion of a nonnegative integer. For a nonnegative integer $t$ , define…

math.NT2019

The sum-of-digits function on arithmetic progressions

Lukas Spiegelhofer, Thomas Stoll

Let $s_{2}$ be the sum-of-digits function in base $2$ , which returns the number of non-zero binary digits of a nonnegative integer $n$ . We study $s_{2}$ alon g arithmetic subsequences…

math.NT2019★ 3 cited

Approaching Cusick's conjecture on the sum-of-digits function

Lukas Spiegelhofer

Cusick's conjecture on the binary sum of digits $s (n)$ of a nonnegative integer $n$ states the following: for all nonnegative integers $t$ we have \[ c_t=\lim_{N\rightarrow\infty}\…