Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heights on the finite projective line   Define the height function h(a) = min{k+(ka\mod p): k=1,2,...,p-1} for a =
0,1,...,p-1. It is proved that the height has peaks at p, (p+1)/2, and (p+c)/3,
that these peaks occur at a= [p/3], (p-3)/2, (p-1)/2, [2p/3], p-3,p-2, and p-1,
and that h(a) \leq p/3 for all other values of a.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph