TY - JOUR AU - Jason P. Bell AU - Jeffrey C. Lagarias TI - $3x+1$ inverse orbit generating functions almost always have natural boundaries JO - Acta Arithmetica PY - 2015 SP - 101 EP - 120 VL - 170 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/aa170-2-1/ DO - 10.4064/aa170-2-1 LA - en ID - 10_4064_aa170_2_1 ER -