| Autor: |
Kosunen, Pekka |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Journal of Complex Analysis (2017), Art. ID 8474868, 7 pp |
| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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