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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.

11R04 Algebraic numbers; rings of algebraic integers
11C08 Polynomials in number theory
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