  We study the distribution of the complex temperature zeros for the partition
function of the Ising model on a Sierpinski gasket using an exact recursive
relation. Although the zeros arrange on a curve pinching the real axis at T=0
in the thermodynamic limit, their density vanishes asymptotically along the
curve approaching the origin. This phenomenon explains the coincidence of the
low temperature regime on the Sierpinski gasket and on the linear chain.
