Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarques \'el\'ementaires sur la fonction de M\"obius   We use M\"obius inversion and the Bernoulli polynomials to prove inequalities
between the logarithmic summatory function of the M\"obius function and
weighted averages of its ordinary summatory function.

22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an