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We extend the circle theorem on the zeros of the partition function to acontinuum system. We also calculate the exact zeros of the partition functionfor a finite system where the probability distribution for the order parameteris given by two asymmetric Gaussian peaks. For the temperature driven firstorder transition in the thermodynamic limit, the locus and the angular densityof zeros are given by $r = e^{(\Delta c/2l)\theta^2}$ and $2\pig(\theta)=l(1+\frac{3}{2}(\Delta c/l)^2\theta^2)$ respectively in the complex$z(\equiv re^{i\theta})$-plane where $l$ is the reduced latent heat, $\Delta c$is the discontinuity in the reduced specific heat and $z= \exp(1-T_c/T)$.

Zeros of the partition function for a continuum system at first-order transitions