%0 Journal Article %A Pavlos B. Konstadinidis %T The real $3x+1$ problem %J Acta Arithmetica %D 2006 %P 35-44 %V 122 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa122-1-3/ %R 10.4064/aa122-1-3 %G en %F 10_4064_aa122_1_3