The 3x+1 problem: An annotated bibliography (1963--1999) (sorted by author)
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2003
- DOI:
- 10.48550/arXiv.math/0309224
- arXiv:
- arXiv:math/0309224
- Bibcode:
- 2003math......9224L
- Keywords:
-
- Mathematics - Number Theory;
- Mathematics - Dynamical Systems;
- 11B37;
- 37A45;
- 39B12
- E-Print:
- 74 pages latex