On the number of cycles of p-adic dynamical systems

被引：33
|
作者：
Khrennikov, A [1 ]
Nilsson, M [1 ]
机构：
[1] Vaxjo Univ, Sch Math & Syst Engn, SE-35195 Vaxjo, Sweden
来源：
JOURNAL OF NUMBER THEORY | 2001年 / 90卷 / 02期
关键词：
p-adic numbers; iterations of monomial functions; number of cycles; distribution of prime numbers;
D O I：
10.1006/jnth.2001.2665
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We found the asymptotics, p --> alpha, for the number of cycles for iteration of monomial functions in the fields of p-adic numbers. This asymptotics is closely connected with classical results on the distribution of prime numbers. (C) 2001 Academic Press.
引用
收藏
页码：255 / 264
页数：10
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