BOSONIC AND FERMIONIC PARTITION-FUNCTIONS ON S-3

Using the C-function regularization method, we compute expressions for the bosonic and fermionic partition functions for a field theory defi ned on a sphere S-3. We also analyze their behavior with the radius r( 0) of this manifold, showing that for specific values of the field's m asses closed expressions can be obtained, which give a completely diff erent behavior as r(0) --> infinity, indicating isolated discontinuiti es of these partition functions with the masses of the matter fields.