曲阜师范大学学报（自然科学版）2020，Vol.46Issue(1)：11-18,8.DOI:10.3969/j.issn.1001-5337.2020.1.011
关于Collatz猜想的发现
Discoveries on Collatz conjecture
陈铁灵1
作者信息
- 1. 南卡罗莱纳大学艾肯分校数学科学系,SC29801,艾肯郡,南卡罗莱纳州,美国
- 折叠
摘要
Abstract
The paper provides two new points of view at the problem of 3n +-1.One is a place shift problem demonstrating that the operations involved in the problem of 3n + 1 and its generalizations are equivalent to shifting sequences of digits expressed in a number system with a proper base.The other one is a problem about the existence of a particular hypothetical graph for the number theoretical function of the problem of 3n + 1.Some new discoveries about the problem and its generalizations are presented in the paper.These include the phenomenon that the majority of the numbers entering the final cycle through the number 5 on the classical problem of 3n +1 and the phenomenon that the majority of the numbers entering a specific cycle on a generalized problem in the number system with base 3.关键词
Collatz猜想/数论函数/数位移动/循环Key words
Collatz conjecture/number theoretic function/place shift/cycle分类
数理科学引用本文复制引用
陈铁灵..关于Collatz猜想的发现[J].曲阜师范大学学报（自然科学版）,2020,46(1):11-18,8.
