With one Delta m(2) of the appropriate order of magnitude to solve the
atmospheric neutrino problem, we study the resulting three-generation
vacuum-oscillation fit to the solar neutrino flux. An explanation of
the atmospheric neutrino composition in terms of pure nu(mu) --> nu(ta
u) oscillations is easily compatible with the well-known two-flavour o
scillation solution for solar neutrinos. The allowed parameter region
in the sin(2)(2 theta(12))-Delta m(2) plane changes little with increa
sing values of the mixing element U-e3, provided this is less than abo
ut 0.4. We find that the threefold maximal mixing is disfavoured. (C)
1998 Elsevier Science B.V. All rights reserved.