  The SU(n) Heisenberg model represented by exchange operators is studied by
means of high-temperature series expansion in three dimensions, where n is an
arbitrary positive integer. The spin-spin correlation function and its Fourier
transform S(q) is derived up to O[(\beta J)^{10}] with (\beta J) being the
nearest-neighbor antiferromagnetic exchange in units of temperature. The
temperature dependence of S(q) and next-nearest-neighbor spin-spin correlation
in the large n cases show that dominant correlation deviates from
q=(\pi,\pi,\pi) at low temperature, which is qualitatively similar to that of
this model in one dimension. The Neel temperature of SU(2) case is precisely
estimated by analyzing the divergence of S(\pi,\pi,\pi). Then, we generalize n
of SU(n) to a continuous variable and gradually increases from n=2. We conclude
that the Neel ordering disappears for n>2.
