Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Indices d'un operateur differentiel matriciel et applications   In this paper, one determines the formal index and the polynomial index of a
matrix linear differential operator P with coefficients in Mn(C[x]) and
detAm(x) not identically zero. Then, one applies these results to give a new
proof of a Bezivin-Robba theorem equivalent to the Lindemann-Wierstrass
theorem, as to find sufficient conditions on the Riccati matrix differential
equation Y' = A(x)+B(x)Y +Y C(x)Y with coefficients in Mn(C[x]) so that any
meromorphic solution is rational and other sufficient conditions so that the
general solution is algebraic.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th