%0 Journal Article
%A Ilia Krasikov
%A Jeffrey C. Lagarias
%T Bounds for the $3x+1$ problem using difference inequalities
%J Acta Arithmetica
%D 2003
%P 237-258
%V 109
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa109-3-4/
%R 10.4064/aa109-3-4
%G en
%F 10_4064_aa109_3_4