Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On multidimensional generalization of the Lagrange theorem on continued
  fractions   The Lagrange theorem on continued fractions states that a number is a
quadratic surd if and only if its continued fraction expansion is eventually
periodic. The current paper is devoted to a multidimensional generalization of
this fact. As a multidimensional analog of continued fractions so called Klein
polyhedra are considered: given an irrational lattice in an n-dimensional
Euclidean space, its Klein polyhedron is defined as the convex hull of nonzero
lattice points with nonnegative coordinates.

14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys