A Non-Iterative 2-Adic Statement of the 3N + 1 Conjecture

DOI10.2307/2160415zbMath0803.11019OpenAlexW4244948360WikidataQ122977573 ScholiaQ122977573MaRDI QIDQ4300957

Daniel J. Bernstein

Publication date: 3 January 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160415

zbMATH Keywords

2-adic integers\(3x+1\)-conjectureCollatz function

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83)

Related Items (6)

Visualizing generalized \(3x+1\) function dynamics based on fractal ⋮ On a class of 2-adic functions related to the ``\(3x+1\)-problem ⋮ The autoconjugacy of the \(3x+1\) function. ⋮ On conjugacies of the \(3x+1\) map induced by continuous endomorphisms of the shift dynamical system ⋮ Parity sequences of the 3x+1 map on the 2-adic integers and Euclidean embedding ⋮ The Collatz conjecture and de Bruijn graphs

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