Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automatic sequences fulfill the Sarnak conjecture   We present in this paper a new method to deal with automatic sequences.
  This method allows us to prove a M\"obius-randomness-principle for automatic
sequences from which we deduce the Sarnak conjecture for this class of
sequences.
  Furthermore, we can show a Prime Number Theorem for automatic sequences that
are generated by strongly connected automata where the initial state is fixed
by the transition corresponding to $0$.

27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci