Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a sum of positive rational numbers whose product is 1   In this note, we prove that for every two positive integers $m \geq n \geq
9$, there exist $n$ positive rational numbers whose product is 1 and sum is
$m$.

5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th