Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals, II

被引：6
|
作者：
Pezda, T [1 ]
机构：
[1] Univ Wroclaw, Dept Math, PL-50384 Wroclaw, Poland
来源：
MONATSHEFTE FUR MATHEMATIK | 2005年 / 145卷 / 04期
关键词：
periodic points; polynomial mapping; algebraic integers; discrete valuation domain;
D O I：
10.1007/s00605-004-0290-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove (Theorem 1.1) an asymptotic for maximal cycle lengths of polynomial mappings in several variables over rings of integers in algebraic number fields. In addition (Proposition 3.1), we strengthen the shape of possible lengths of polynomial cycles over discrete valuation domains.
引用
收藏
页码：321 / 331
页数：11
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