Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Diophantine equations f (x) = g(y)   The study of finiteness or infiniteness of integer solutions of a Diophantine
equation has been considered as a standard problem in the literature. In this
paper, for f(x) in Z[x] monic and q1 ,...., qm in Z, we study the conditions
for which the Diophantine equatio (y + q1 )(y + q2 ) .... (y + qm ) = f(x) has
finitely many solutions in integers. Also assuming ABC Conjecture, we study the
conditions for finiteness of integer solutions of the Diophantine equation f(x)
= g(y).

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat