Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Waring's problem in sums of three cubes   We investigate the asymptotic formula for the number of representations of a
large positive integer as a sum of $k$-th powers of integers represented as the
sums of three positive cubes, counted with multiplicities. We also obtain a
lower bound for the number of representations when the sums of three cubes are
counted without multiplicities.

8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci