Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On (not) computing the Mobius function using bounded depth circuits   Any function F : {0,...,N-1} -> {-1,1} such that F(x) can be computed from
the binary digits of x using a bounded depth circuit is orthogonal to the
Mobius function mu in the sense that E_{0 <= x <= N-1} mu(x)F(x) = o(1). The
proof combines a result of Linial, Mansour and Nisan with techniques of Katai
and Harman-Katai, used in their work on finding primes with specified digits.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex