Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extension of a Diophantine triple with the property $D(4)$   In this paper, we give an upper bound on the number of extensions of a triple
to a quadruple for the Diophantine $m$-tuples with the property $D(4)$. We also
confirm the conjecture of the uniqueness of such an extension in some special
cases.

17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci