@article{GluckTaylor2002, author = {{David Gluck and Brian D. Taylor}}, title = {{A new statistic for the $3x+1$ problem}}, journal = {{Proc. Amer. Math. Soc.}}, year = {{2002}}, volume = {{130}}, pages = {{1293--1301}}, note = {{MR 2002k:11031}}, }