5 citations · 5 across the 2 of their papers we have counts for
4 papers
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…
Automatic sequences are orthogonal to aperiodic multiplicative functions
Mariusz Lemańczyk, Clemens Müllner
Given a finite alphabet and a primitive substitution (of constant length ), let denote the corresponding dynamical system, w…
Exponential sums with automatic sequences
Sary Drappeau, Clemens Müllner
We show that automatic sequences are asymptotically orthogonal to periodic exponentials of type , where is a rational fraction, in the Pólya-Vinogradov range. This a…
Möbius orthogonality for the Zeckendorf sum-of-digits function
Michael Drmota, Clemens Müllner, Lukas Spiegelhofer
We show that the (morphic) sequence is asymptotically orthogonal to all bounded multiplicative functions, where denotes the Zeckendorf sum-of-digits function.…