  The momentum- and frequency-dependent one-body correlation function of the
one-dimensional interacting Bose gas (Lieb-Liniger model) in the repulsive
regime is studied using the Algebraic Bethe Ansatz and numerics. We first
provide a determinant representation for the field form factor which is
well-adapted to numerical evaluation. The correlation function is then
reconstructed to high accuracy for systems with finite but large numbers of
particles, for a wide range of values of the interaction parameter. Our results
are extensively discussed, in particular their specialization to the static
case.
