Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Les lois Z\^eta pour l'arithm\'etique   This paper provides a probabilist point of view about some results in
analytic number theory. The main tool is the family of Zeta laws, which is a
consolation for the non-existence of an uniform law on the set of integers. We
prove the existence and compute the natural density for the pairs of coprime
integers, and also for the pairs of coprime Gaussian integers.Along the way, we
recover the decomposition of the Zeta function as an Eulerian product and some
related results.

14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an