Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois groups of Fermat polynomials and the arithmetic groups of
  Diophantine curves   This paper develops a framework of algebra whereby every Diophantine equation
is made quickly accessible by a study of the corresponding row entries in an
array of numbers which we call the Newtonian triangles. We then apply this
framework to the understandimg of the Fermat's Last Theorem and discuss some of
its direct consequences.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas