Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On systems of Diophantine equations with a large number of integer
  solutions   Let E_n={x_i+x_j=x_k, x_i \cdot x_j=x_k: i,j,k \in {1,...,n}}. For each
integer n \geq 13, J. Browkin defined a system B_n \subseteq E_n which has
exactly b_n solutions in integers x_1,...,x_n, where b_n \in N\{0} and the
sequence {b_n}_{n=13}^\infty rapidly tends to infinity. For each integer n \geq
12, we define a system T_n \subseteq E_n which has exactly t_n solutions in
integers x_1,...,x_n, where t_n \in N\{0} and lim_{n \to \infty}
t_n/b_n=\infty.

25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph