Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Langlands reciprocity for the even dimensional noncommutative tori   We conjecture an explicit formula for the higher dimensional Dirichlet
character; the formula is based on the K-theory of the so-called noncommutative
tori. It is proved, that our conjecture is true for the two-dimensional and
one-dimensional (degenerate) noncommutative tori; in the second case, one gets
a noncommutative analog of the Artin reciprocity law.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th