2 papers
math.NT2019
Convergence of generalized Collatz problem in k-adic field
Yushu Zhu, Sensen Chen, Qing-You Sun
In this article, we define a new k-adic series transformation called Z-transformation and probe into its fixed point and periodicity. We extend the number field of the transform pe…
math.NT2019
The Periodicity to a Kind of Generalized Collatz Problem
Sensen Chen, Qing-You Sun, Yushu Zhu
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…