Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diophantine equations via cluster transformations   Motivated by Fomin and Zelevinsky's theory of cluster algebras we introduce a
variant of the Markov equation; we show that all natural solutions of the
equation arise from an initial solution by cluster transformations.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin