Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Koyama's refinement of the prime geodesic theorem   We give a new proof of the best presently known error term in the prime
geodesic theorem for compact Riemann surfaces, without the assumption of
excluding a set of finite logarithmic measure. Stronger implications of the
Gallagher-Koyama approach are derived yielding to a further reduction of the
error term outside a set of finite logarithmic measure.

28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int