Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$   Fuglede's spectral set conjecture states that a subset $\Omega$ of a locally
compact abelian group $G$ tiles the group by translation if and only if there
exists a subset of continuous group characters which is an orthogonal basis of
$L^2(\Omega)$. We prove that Fuglede's conjecture holds on cyclic groups
$\mathbb{Z}_{pqr}$ with $p,q,r$ distinct primes.

16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin