9 citations · 17 across the 5 of their papers we have counts for
11 papers
Möbius orthogonality of sequences with maximal entropy
Michael Drmota, Christian Mauduit, Joël Rivat +1
We prove that strongly -multiplicative functions of modulus along squares are asymptotically orthogonal to the Möbius function. This provides examples of sequences having ma…
A lower bound for Cusick's conjecture on the digits of n+t
Lukas Spiegelhofer
Let be the sum-of-digits function in base , which returns the number of s in the base-2 expansion of a nonnegative integer. For a nonnegative integer , define…
The sum-of-digits function on arithmetic progressions
Lukas Spiegelhofer, Thomas Stoll
Let be the sum-of-digits function in base , which returns the number of non-zero binary digits of a nonnegative integer . We study alon g arithmetic subsequences…
Approaching Cusick's conjecture on the sum-of-digits function
Lukas Spiegelhofer
Cusick's conjecture on the binary sum of digits of a nonnegative integer states the following: for all nonnegative integers we have \[ c_t=\lim_{N\rightarrow\infty}\…
Randomness and non-randomness properties of Piatetski-Shapiro sequences modulo m
Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner +1
We study Piatetski-Shapiro sequences modulo m, for non-integer and positive , and we are particularly interested in subword occurrences in those…
The level of distribution of the Thue--Morse sequence
Lukas Spiegelhofer
The level of distribution of a complex valued sequence measures "how well behaves" on arithmetic progressions . Determining whether is a level of distribution for…