TL;DR
This paper derives the distribution functions of sequences generated by the 3x+1 and 5x+1 problems using known results from first-degree Diophantine equations, providing insights into their behavior.
Contribution
It introduces a method to find the distribution functions of sequences from the 3x+1 and 5x+1 problems based on classical Diophantine equation results.
Findings
Distribution functions for 3x+1 and 5x+1 sequences derived
Provides a link between Diophantine equations and sequence distribution
Offers a new perspective on the behavior of these sequences
Abstract
From a known result of diophantine equations of the first degree with 2 unknowns we simply find the results of the distribution function of the sequences of positive integers generated by the functions at the origin of the 3x+1 and 5x+1 problems .
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Taxonomy
TopicsAdvanced Statistical Process Monitoring