TY - JOUR
A2 - Grinshpan, Arcadii Z.
AU - Kosunen, Pekka
PY - 2017
DA - 2017/11/23
TI - Uniqueness of the Sum of Points of the Period-Five Cycle of Quadratic Polynomials
SP - 8474868
VL - 2017
AB - It is well known that the sum of points of the period-five cycle of the quadratic polynomial fc(x)=x2+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 Gröbner-bases and especially extension theory from the theory of polynomial algebra.
SN - 2314-4963
UR - https://doi.org/10.1155/2017/8474868
DO - 10.1155/2017/8474868
JF - Journal of Complex Analysis
PB - Hindawi
KW -
ER -