Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A survey of the alternating sum-of-divisors function   We survey arithmetic and asymptotic properties of the alternating
sum-of-divisors function $\beta$ defined by
$\beta(p^a)=p^a-p^{a-1}+p^{a-2}-...+(-1)^a$ for every prime power $p^a$ ($a\ge
1$), and extended by multiplicativity. Certain open problems are also stated.

4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin