Möbius orthogonality for -semimultiplicative sequences
arXiv:1808.06196
Abstract
We show that all -semimultiplicative sequences are asymptotically orthogonal to the Möbius function, thus proving the Sarnak conjecture for this class of sequences. This generalises analogous results for the sum-of-digits function and other digital sequences which follow from previous work of Mauduit and Rivat.
arXiv comment19 pages