Calculation of the Yang-Lee Distribution of Zeros

The connection between the zeros of the grand partition function $Z$ and the function $\chi =\lim V^{-1\mathrm{}}\ln Z$ at infinite volume is discussed. Assuming a functional equation for $\chi$ given, conditions for the lines containing zeros and an expression for the density of zeros are derived. Explicit results are given in a special case with an attractive interaction potential.