Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representing numbers as the sum of squares and powers in the ring
  $\mathbb{Z}_n$   We examine the representation of numbers as the sum of two squares in
$\mathbb{Z}_n$ for a general positive integer $n$. Using this information we
make some comments about the density of positive integers which can be
represented as the sum of two squares and powers of $2$ in $\mathbb{N}$.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio