TY  - JOUR
AU  - Ilia Krasikov
AU  - Jeffrey C. Lagarias
TI  - Bounds for the $3x+1$ problem using difference inequalities
JO  - Acta Arithmetica
PY  - 2003
SP  - 237
EP  - 258
VL  - 109
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa109-3-4/
DO  - 10.4064/aa109-3-4
LA  - en
ID  - 10_4064_aa109_3_4
ER  -