Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Yushu Zhu, Sensen Chen and Qing-You Sun
Pages: [33] - [47]
Received Date: September 12, 2020
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122154
In this article, we define a new 
series transformation called 
transformation and probe into its fixed point
and periodicity. We extend the number field of the transform period
problem to a wider field. Different constraints are imposed on
then different periodic columns are formed
after finite transformations. We obtain that their periodic
sequences are 
and 
respectively after derivation. As an
application, it can provide a reference for C problems in more complex
algebraic systems.
Collatz problem, 
mathematical induction, fixed point.
