The 3x+1 Problem: An Overview

The 3x+1 Problem: An Overview
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发表时间:
2021-11
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通讯作者:
J. Lagarias
J. Lagarias
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其他
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作者:
J. Lagarias

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本文是对3X+1问题(又称Collatz问题)及其推广的综述和综述。它给出了这个问题的历史。它解决了两个问题:(1)关于这个问题,目前数学能说些什么?(截至2010年)。(2)当这个问题如此容易陈述时,它怎么会很难?
This paper is an overview and survey of work on the 3x+1 problem, also called the Collatz problem, and generalizations of it. It gives a history of the problem. It addresses two questions: (1) What can mathematics currently say about this problem? (as of 2010). (2) How can this problem be hard, when it is so easy to state?