3 papers
math.NT2018
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…
math.NT2017
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…
math.NT2017
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.…