%0 Journal Article %A John Simons %A Benne de Weger %T Theoretical and computational bounds for $m$-cycles of the $3n+1$-problem %J Acta Arithmetica %D 2005 %P 51-70 %V 117 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa117-1-3/ %R 10.4064/aa117-1-3 %G en %F 10_4064_aa117_1_3