%0 Journal Article %A John L. Simons %T On the (non-)existence of $m$-cycles for generalized Syracuse sequences %J Acta Arithmetica %D 2008 %P 217-254 %V 131 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa131-3-2/ %R 10.4064/aa131-3-2 %G en %F 10_4064_aa131_3_2