Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of the sum of points of the period five cycle of quadratic
  polynomials   It is well known that the sum of points of the period five cycle of the
quadratic polynomial $f_{c}(x)=x^{2}+c$ is generally not one-valued. In this
paper we will show that the sum of cycle points of the curves of period five is
at most three-valued on a new coordinate plane, and that this result is
essentially the best possible. The method of our proof relies on a implementing
Gr\"obner-bases and especially extension theory from the theory of polynomial
algebra.

23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat