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On cycles of polynomials with integral rational coefficients. (English) Zbl 1028.11064
Summary: The paper deals with polynomial cycles in the rings of integers of cyclic algebraic number fields for polynomials with integral rational coefficients. In the first part, a connection between the existence of cycles and the existence of power bases is shown. In the second part, properties of cycles for quadratic polynomials with rational integral coefficients are described.

##### MSC:
 11R04 Algebraic numbers; rings of algebraic integers 11C08 Polynomials in number theory
##### Keywords:
polynomial cycle; ring of integers; cyclic fields
Full Text:
##### References:
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