TY - JOUR AU - John Simons AU - Benne de Weger TI - Theoretical and computational bounds for $m$-cycles of the $3n+1$-problem JO - Acta Arithmetica PY - 2005 SP - 51 EP - 70 VL - 117 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/aa117-1-3/ DO - 10.4064/aa117-1-3 LA - en ID - 10_4064_aa117_1_3 ER -