Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prime geodesic theorem for the modular group   Soundararajan and Young (2013) proposed a new approach to improve the error
term of the prime geodesic theorem for the modular group and actually obtained
the exponent 25/36 of the error term. In the present paper, we sharpen it to
9/13.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph