We identify and evaluate a class of physical amplitudes in four-dimens
ional N = 4 superstring theory, which receive, in the weak-coupling li
mit, contributions of order e(-1/lambda), where lambda is the type II
superstring coupling constant. They correspond to four-derivative (F)
over tilde(1) interaction terms involving the universal type II dilato
n supermultiplet. The exact result, obtained by means of a one-loop co
mputation in the dual heterotic theory compactified on T-6, is compare
d with the perturbation theory on the type II side, and the e(-1/lambd
a) contributions are associated to non-perturbative effects of Euclide
an solitons (D-branes) wrapped on K3 x T-2. The ten-dimensional decomp
actification limit on the type IIB side validates the recent conjectur
e for the D-instanton-induced R-4 couplings. (C) 1998 Elsevier Science
B.V.