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

页码：255 / 264

页数：10

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