Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution Equations and Functions of Hypergeometric Type over Fields of
  Positive Characteristic   We consider a class of partial differential equations with Carlitz
derivatives over a local field of positive characteristic, for which an analog
of the Cauchy problem is well-posed. Equations of such type correspond to
quasi-holonomic modules over the ring of differential operators with Carlitz
derivatives. The above class of equations includes some equations of
hypergeometric type. Building on the work of Thakur, we develop his notion of
the hypergeometric function of the first kind (whose parameters belonged
initially to $\mathbb Z$) in such a way that it becomes fully an object of the
function field arithmetic, with the variable, parameters and values from the
field of positive characteristic.

6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas