Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the probability that two random integers are coprime   We show that there is a non-empty class of finitely additive probabilities on
$\mathbb N^2$ such that for each member of the class, each set with limiting
relative frequency $p$ has probability $p$. Hence, in that context the
probability that two random integers are coprime is $6/\pi^2$. We also show
that two other interpretations of "random integer," namely residue classes and
shift invariance, support any number in $[0, 6/\pi^2]$ for that probability.
Finally, we specify a countably additive probability space that also supports
$6/\pi^2$.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga