Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting Quasi-Idempotent Irreducible Integral Matrices   Given any polynomial $p$ in $C[X]$, we show that the set of irreducible
matrices satisfying $p(A)=0$ is finite. In the specific case $p(X)=X^2-nX$, we
count the number of irreducible matrices in this set and analyze the arising
sequences and their asymptotics. Such matrices turn out to be related to
generalized compositions and generalized partitions.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg