%0 Journal Article %T Possible Divergences in Tsallis' Thermostatistics %A A. Plastino %A M. C. Rocca %J Physics %D 2013 %I arXiv %R 10.1209/0295-5075/104/60003 %X Trying to compute the nonextensive q-partition function for the Harmonic Oscillator in more than two dimensions, one encounters that it diverges, which poses a serious threat to the whole of Tsallis' thermostatistics. Appeal to the so called q-Laplace Transform, where the q-exponential function plays the role of the ordinary exponential, is seen to save the day. %U http://arxiv.org/abs/1309.5645v3