  We use linked cluster series expansion methods to estimate the values of
various short distance correlation functions in $S=1/2$ Heisenberg
antiferromagnets at T=0, for dimension $d=1,2,3$. The method incorporates the
possibility of spontaneous symmetry breaking, which is manifest in $d=2,3$. The
results are important in providing a test for approximate theories of the
antiferromagnetic ground state.
