Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ortoedres amb longitud d'arestes enteres / Cuboids with integer length
  edges   In this article we study the number of different cuboids $\mathcal{O}(N)$
that can be built with an arbitrary number $N$ of equal cubes. This problem is
equivalent to find the number of different cuboids of volume $N$ with integer
length edges. We obtain an iterative method to calculate the value of
$\mathcal{O}(N)$ for any $N$. Using this method we obtain an explicit formula
when $N$ is the product of two powers of prime numbers. The bidimensional case
is also studied and we give a general formula to determine the number of
different rectangles that can be built with an arbitrary number of equal
squares.

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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat