  High temperature series expansions of the spin-spin correlation function for
the XY (or plane rotator) model on the triangular lattice are extended by two
terms up to order beta^{14}. Tables of the expansion coefficients are reported
for the correlation function spherical moments of order l=0 and 2. Our analysis
of the series supports the Kosterlitz-Thouless predictions on the structure of
the critical singularities and leads to fairly accurate estimates of the
critical parameters.
