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arxiv: 1010.6206 · v3 · pith:ZDJA442Lnew · submitted 2010-10-29 · 🧮 math.NT

Two remarks on the Collatz cycle conjecture

classification 🧮 math.NT
keywords collatzconjecturecycleproblemalgorithmicarithmeticbelagabounds
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We give a short proof of Belaga's result on bounds to perigees of $(3x+d)$-cycles of a given oddlength. We also reformulate the Collatz cycle conjecture which is rather a algorithmic problem into a purely arithmetic problem.

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