%0 Journal Article %A Jason P. Bell %A Jeffrey C. Lagarias %T $3x+1$ inverse orbit generating functions almost always have natural boundaries %J Acta Arithmetica %D 2015 %P 101-120 %V 170 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa170-2-1/ %R 10.4064/aa170-2-1 %G en %F 10_4064_aa170_2_1