The 3x+1 problem: An annotated bibliography (1963--1999) (sorted by author)
Number Theory
2011-01-12 v9 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.math/0309224,
title = {The 3x+1 problem: An annotated bibliography (1963--1999) (sorted by author)},
author = {Jeffrey C. Lagarias},
journal= {arXiv preprint arXiv:math/0309224},
year = {2011}
}
Comments
74 pages latex; 197 references, second title change to distinguish from 3x+1 book; first title change indicates abridgment of earlier versions to papers 1999 and earlier ; part II now covers papers 2000 and later, see arxiv:math.NT/0608208; v.11 cutoff date changed from 2000 to 1999, v.13 added Oulipo references