  It is pointed out that first, contrary to the claim by Baym et al.[Phys. Rev.
Lett 83, 1703 (1999)], the shift in the transition temperature of a weakly
interacting Bose gas can be calculated perturbatively. And second, that the
regime considered by Huang [Phys. Rev. Lett 83, 3770 (1999)] while addressing
the same issue does not describe the Bose-Einstein condensed phase.
