Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The density hypothesis for horizontal families of lattices   We prove the density hypothesis for wide families of arithmetic orbifolds
arising from all division quaternion algebras over all number fields of bounded
degree. Our power-saving bounds on the multiplicities of non-tempered
representations are uniform in the volume and spectral aspects.

30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin