Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General solution of functional equations defined by generic
  linear-fractional mappings F_1: C^N \to C^N and by generic maps birationally
  equivalent to F_1   We consider a system of birational functional equations (BFEs) (or
finite-difference equations at w=m \in Z) for functions y(w) of the form:
y(w+1)=F_n(y(w)), y(w):C \to C^N, n=deg(F_n(y)), F_n \in (\bf Bir}(C^N), where
the map F_n is a given birational one of the group of all automorphisms of C^N
\to C^N. The relation of the BFEs with ordinary differential equations is
discussed. We present a general solution of the above BFEs for n=1,\forall N
and of the ones with the map F_n birationally equivalent to F_1: F_n\equiv
V\comp F_1\comp V^{-1}, \forall V \in (\bf Bir}(C^N).

23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol