Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vacuum energies on spheres and in cubes   The vacuum energy of a conformally coupled scalar field on the d-dimensional
sphere is calculated. On even spheres it is zero and on odd spheres it
oscillates in sign. Results for the d-torus and d-cube are also given.

21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas