ON THE MATHEMATICAL MODEL OF THE TRANSFORMATION OF NATURAL NUMBERS BY A FUNCTION OF A SPLIT TYPE

2024;
: 44-50
https://doi.org/10.23939/cds2024.02.044
Received: May 08, 2024
Revised: June 03, 2024
Accepted: August 12, 2024
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University

In this work justified incorrectness of the algorithm proposed in the publication "M. Remer.[A Comparative Analysis of the New -3(-n) - 1 Remer Conjecture and a Proof of the 3n + 1 Collatz Conjecture. Journal of Applied Mathematics and Physics. Vol.11 No.8, August 2023"] in terms of the Collatz conjecture. And also that the transformation -3(-n) - 1 is not equivalent to Collatz's conjecture on the natural numbers 3n + 1. The obtained results can be used in further studies of the Collatz hypothesis

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