Affiliation: Bordeaux INP
Title Of Talk: Sarnak's conjecture and automatic sequences
Abstract: We present a joint work with Michael Drmota and Clemens Muellner (Vienna). Sarnak's conjecture (in short, concerning some indepence between the Moebius function and any other kind of naturally defined sequence) should hold for deterministic sequences, among other the so-called "automatic sequences". We indeed show that this is the case for almost all the automatic sequences, namely those which are produced by a "synchronizing" automaton. We'll give also some results concerning some other cases.
Last update made Mon Feb 8 17:34:03 PST 2016.