一类广义Collatz问题的周期性
The Periodicity to a Kind of Generalized Collatz Problem
摘要：
Collatz问题与不动点问题有关，在数学中有着广泛的应用。它吸引了广泛的数学爱好者，但仍然很难解决。因此，本文旨在研究Collatz问题的扩展，更广泛地，在k-adic。我们定义了一个新的序列称为Z变换序列。在适当的假设下，证明了Z变换序列的极限集一定是M={1，2}。
英文摘要：
The Collatz problem is related to the fixed point problem, and is widely used in mathematics. It has attracted a wide range of math enthusiasts, but is still difficult to solve. So, this article aimed to study the extension of the Collatz problem, more widely, in k-adic. We define a new sequence called Z transformation sequence. Under a suitable assumptions, we can prove that the limit set of the Z transformation sequence must be M={1,2}.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
