The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)
Number Theory
2012-02-14 v6 Dynamical Systems
Abstract
The 3x+1 problem concerns iteration of the map T(n) =(3n+1)/2 if n odd; n/2 if n even. The 3x +1 Conjecture asserts that for every positive integer n>1 the forward orbit of n includes the integer 1. This paper is an annotated bibliography of work done on the 3x+1 problem published from 2000 through 2009, plus some later papers that were preprints by 2009. This is a sequel to an annotated bibliography on the 3x+1 problem covering 1963-1999. At present the 3x+1 Conjecture remains unsolved.
Keywords
Cite
@article{arxiv.math/0608208,
title = {The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)},
author = {Jeffrey C. Lagarias},
journal= {arXiv preprint arXiv:math/0608208},
year = {2012}
}
Comments
42 pages; will be periodically updated, cover papers till 2009+ later papers preprints by 2009; sequel to arxiv:math.NT/0309224; v4 now runs from 2000 rather than 2001, 121 entries; v5 40 pages, 126 entries, v6 42 pages, 134 enries