The Dynamical System Generated by the 3n+1 Function
The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focu...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colecção: | Lecture notes in mathematics
1681 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The dynamical system generated by the 3n + 1 function, Günther J. Wirsching, Berlin, Springer, 1998, 1 vol. (vii-158 p.), Lecture notes in mathematics, 3-540-63970-5 • The Dynamical System Generated by the 3n+1 Function, Texte imprimé, 9783662175095 |
Sumário:
- Some ideas around 3n+1 iterations
- Analysis of the Collatz graph
- 3-adic averages of counting functions
- An asymptotically homogeneous Markov chain
- Mixing and predecessor density.