@article{HalbeisenHungerbuhler1997, author = {{Lorenz Halbeisen and Norbert Hungerbühler}}, title = {{Optimal bounds for the length of rational Collatz cycles}}, journal = {{Acta Arithmetica}}, year = {{1997}}, volume = {{78}}, pages = {{227--239}}, note = {{MR 98g:11025}}, }