Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gap distribution of Farey fractions under some divisibility constraints   For a fixed positive integer d, we show the existence of the limiting gap
distribution measure for the sets of Farey fractions a/q of order Q with a not
divisible by d, and respectively with q relatively prime with d, as Q tends to
infinity.

18
The categories of this paper are: econ
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys