Highly Influenced

# The 3x + 1 Problem: an Annotated Bibliography

@inproceedings{Lagarias2004The3, title={The 3x + 1 Problem: an Annotated Bibliography}, author={Jeffrey C. Lagarias}, year={2004} }

- Published 2004

The 3x + 1 problem concerns iteration of the map T : Z → Z given by T (x) = 3x + 1 2 if x ≡ 1 (mod 2). x 2 if x ≡ 0 (mod 2). The 3x + 1 Conjecture asserts that each m ≥ 1 has some iterate T (k) (m) = 1. This is an annotated bibliography of work done on the 3x + 1 problem and related problems. At present the 3x + 1 Conjecture remains unsolved. The 3x + 1 function is T (x) = 3x + 1 2 if x ≡ 1 (mod 2) x 2 if x ≡ 0 (mod 2). The 3x + 1 Conjecture states that every… CONTINUE READING