Number Theory

   

A New Sky for the Collatz Conjecture

Authors: Fortuné Alain Junior Backoulas

This small excerpt from our paper on the Collatz conjecture is intended to give new directions to those who are working on the understanding of this problem, but, above all, for those who have invested in the solution of this problem. We have limited ourselves in this document to raising awareness of the approach we have adopted, which was certainly not the right one. This is what makes such a simple problem seem so difficult to solve. As this man said: it is difficult to paint the real landscape when you accidentally end up on another landscape. In this paper, we make a contribution to the understanding that the trivial cycle of basis 1 2 4 is only one case among a whole set of trivial cycles. And that in this generality, the trivial cycle of Collatz has the same properties as the other cycles and that it should not always be taken as a basic element. In this sense, trying to understand it does not bring us back to determining the behavior of this cycle because, other notions must be understood beforehand. Hence; in our opinion, all the difficulties that mathematicians and others encounter today and since.

Comments: 12 Pages.

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Submission history

[v1] 2022-07-09 02:58:04

Unique-IP document downloads: 158 times

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