A simple proof of the Wirsching-Goodwin representation of integers connected to 1 in the 3x+1 problem
Abstract
This paper gives a simple proof of the Wirsching-Goodwin representation of integers connected to 1 in the 3x+1 problem (see Wirsching and Goodwin). This representation permits to compute all the ascending Collatz sequences (f(i)(n),\: i=1,b-1) with a last value f(b)(n)=1. Other periodic sequences connected to 1 are also identified.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.