Exact Partition Functions for the Primitive Droplet Nucleation Model in   2 and 3 Dimensions
  The grand canonical partition functions for primitive droplet nucleation models with an excess energy epsilon_n = - mu n + sigma n^{1-eta}, eta = 1/d, for droplets of n constituents in d dimensions are calculated exacly in closed form in the cases d=2 and 3 for all (complex) mu by exploiting the fact that the partition functions obey simple PDE. 
H.A. Kastrup (RWTH Aachen)