Periodic points, multiplicities, and dynamical units.
Periodic points, multiplicities, and dynamical units.
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周期点、多重性和动力单位。
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
J. Silverman
中科院分区：
文献类型：
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作者：
P. Morton;J. Silverman
设φ(Z)e C[z]是至少2次多项式。自Julia和Fatou以来，为了分析与φ有关的动力系统，人们对φ迭代的不动点进行了广泛的研究。(例如，参见[2]。)如果φ(ζ)在数域K中具有系数，则这些周期点将生成K的有趣的代数扩张。更准确地说，如果αe K是φ的周期点，则映射
Let φ (z) e C [z] be a polynomial of degree at least 2. The fixed points of the iterates of φ have been widely studied since the time of Julia and Fatou in order to analyze the dynamical System associated to φ. (See, for example, [2].) If φ (ζ) has coefficients in a number field K, these periodic points will generate interesting algebraic extensions of K. More precisely, if α e K is a periodic point for φ, then the map