The Dynamical System Generated by the 3n+1 Function - Günther J. Wirsching
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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 focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatori ... Pilns apraksts
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Aprašymas
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 focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it.
Vairāk informācijas
| Autors | Günther J. Wirsching |
|---|---|
| Izdevējs | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Izlaides gads | 1998 |
| Vāka tips | Mīkstais vāks |
| EAN | 9783540639701 |