Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Diophantine equation $\binom{n}{k}=\binom{m}{l}+d$   By finding all integral points on certain elliptic and hyperelliptic curves
we completely solve the Diophantine equation $\binom{n}{k}=\binom{m}{l}+d$ for
$-3\leq d\leq 3$ and $(k,l)\in\{(2,3),\; (2,4),\;(2,5),\; (2,6),\; (2,8),\;
(3,4),\; (3,6),\; (4,6), \; (4,8)\}.$ Moreover, we present some other
observations of computational and theoretical nature concerning the title
equation.

14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an