Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois points and rational functions with small value sets   This paper presents a connection between Galois points and rational functions
over a finite field with small value sets. This paper proves that the defining
polynomial of any plane curve admitting two Galois points is an irreducible
component of a polynomial obtained as a relation of two rational functions. A
recent result of Bartoli, Borges, and Quoos implies that one of these rational
functions over a finite field has a very small value set, under the assumption
that Galois groups of two Galois points generate the semidrect product. When
two Galois points are external, this paper proves that the defining polynomial
is an irreducible component of a polynomial with separated variables. This
connects the study of Galois points to that of polynomials with small value
sets.

15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th