@article{SimonsWeger2005, author = {{John L. Simons and Benne M. M. de Weger}}, title = {{Theoretical and computational bounds for $m$-cycles of the $3n+1$ problem}}, journal = {{Acta Arithmetica}}, year = {{2005}}, volume = {{117}}, pages = {{51--70}}, note = {{MR 2005h:11049}}, }