Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On 3-dimensional hyperbolic Coxeter pyramids   After classifying 3-dimensional hyperbolic Coxeter pyramids by means of
elementary plane geometry, we calculate growth functions of corresponding
Coxeter groups by using Steinberg formula and conclude that growth rates of
them are always Perron numbers. We also calculate hyperbolic volumes of them
and compare volumes with their growth rates. Finally we consider a geometric
ordering of Coxeter pyramids comparable with their growth rates.

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph