hal-00129576, version 1
Reflecting on the $3x+1$ Mystery. Outline of a Scenario.
(21/12/1998)
Résumé : "Guessing the outcome of iterations of even most simple arithmetical functions could be an extremely hazardous experience. Not less harder, if at all possible, might be to prove the veracity of even a "sure" guess concerning iterations : this is the case of the famous $3x+1$ conjecture. Our purpose here is to study and conceptualize some intuitive insights related to the ultimate (un)solvability of this conjecture. "
- 1 :
- CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I
- Domaine : Mathématiques/Théorie des nombres
- Mots-clés : "iterations of arithmetical functions – Turing halting problem – unsolvability"
- hal-00129576, version 1
- http://hal.archives-ouvertes.fr/hal-00129576
- oai:hal.archives-ouvertes.fr:hal-00129576
- Contributeur :
- Soumis le : Jeudi 8 Février 2007, 11:33:05
- Dernière modification le : Jeudi 8 Février 2007, 17:07:27
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