  Correlation functions of one unit spectral flowed states in string theory on
AdS_3 are considered. We present the modified Knizhnik-Zamolodchikov and null
vector equations to be satisfied by amplitudes containing states in winding
sector one and study their solution corresponding to the four point function
including one w=1 field. We compute the three point function involving two one
unit spectral flowed operators and find expressions for amplitudes of three w=1
states satisfying certain particular relations among the spins of the fields.
Several consistency checks are performed.
