[PDF.37ay] The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics)
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The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics)
Günther J. Wirsching
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| #2429732 in Books | Springer | 2009-02-22 | Original language:English | PDF # 1 | 9.25 x.39 x6.10l,.56 | File type: PDF | 164 pages | |
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 wr...
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