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math.NT2023
Are the Collatz and abc conjectures related?
Olivier Rozier
The Collatz and conjectures, both well known and thoroughly studied, appear to be largely unrelated at first sight. We show that assuming the conjecture true is helpful…
math.NT2015
The 3x+1 problem: a lower bound hypothesis
Olivier Rozier
Much work has been done attempting to understand the dynamic behaviour of the so-called "3x+1" function. It is known that finite sequences of iterations with a given length and a g…