High-field series expansions and critical properties for the three-state Potts model

High-field series expansions are presented for the three-state Potts model on the square, simple cubic and body centred cubic lattices. Estimates of the critical exponents for two dimensions are beta =0.1064+or-0.0005, gamma '=1.50+or-0.04 and delta =15.5+or-1.5. It is plausible that the three-dimensional model undergoes a second-order phase transition with exponents beta =0.203+or-0.004, gamma '=1.18+or-0.05 and delta =7.0+or-0.3.