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The Dynamical System Generated by the 3n+1 Function

The Dynamical System Generated by the 3n+1 Function

Günther J. Wirsching

54,54 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
1998
Materia
Ciencias de la computación
ISBN:
9783540639701
54,54 €
IVA incluido
Disponible

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Sobre IBD

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.

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