Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On simultaneous arithmetic progressions on elliptic curves   In this paper we study elliptic curves which have a number of points whose
coordinates are in arithmetic progression. We first motivate this diophantine
problem, prove some results, provide a number of interesting examples and,
finally point out open questions which focus on the most interesting aspects of
the problem for us.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph