Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sums of four squareful numbers   We find an asymptotic formula for the number of primitive vectors
$(z_1,\ldots,z_4)\in (\mathbb{Z}_{\neq 0})^4$ such that $z_1,\ldots, z_4$ are
all squareful and bounded by $B$, and $z_1+\cdots + z_4 = 0$. Our result agrees
in the power of $B$ and $\log B$ with the Campana-Manin conjecture of Pieropan,
Smeets, Tanimoto and V\'{a}rilly-Alvarado.

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con