Functions and Analysis

    

Extended Proof of the Collatz Conjecture with Quasi-Induction

Authors: Hans Rieder

In this manuscript, we present an extended proof of the Collatzconjecture, based on the novel approach of quasi-induction and a detailed analysis of the shrinking rate. The logarithmic approach plays a central role in demonstrating that the sequence continuously shrinks on average and eventually reaches the number 1. In addition, numerical computations on GitHub are mentioned to support these theoretical results.

Comments: 4 Pages.

Download: PDF

Submission history

[v1] 2024-08-26 02:02:01
[v2] 2024-09-26 15:50:33

Unique-IP document downloads: 1390 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus