The 3x+1 problem: An annotated bibliography (1963--1999) (sorted by author)

2003/09/13 by Lagarias, Jeffrey C. · 3 citations
#11B37 #37A45 #39B12 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0309224

Abstract

The 3x+ 1 problem concerns iteration of the map on the integers given by T(n) = (3n+1)/2 if n is odd; T(n) = n/2 if n is even. The 3x+1 Conjecture asserts that for every positive integer n > 1 the forward orbit of n under iteration by T includes the integer 1. This paper is an annotated bibliography of work done on the 3x+1 problem and related problems from 1963 through 1999. At present the 3x+1 Conjecture remains unsolved.

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Related

• The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)
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