Majorana neutrino masses and neutrino oscillations

We examine some patterns of the Majorana neutrino mass matrix which are compatible with the phenomenological lepton flavor mixing matrix and non-observation of neutrinoless double beta decay. Imposing (M-v)(ee)=0 for the Majorana neutrino mass matrix in the leading order, we obtain a relationship between the solar mixing angle and the neutrino masses m(1) and m(2). Additional possible texture zeros are assigned to the mass matrix so as for the nonvanishing theta (13) to be predictable in terms of neutrino masses. We also show how three neutrino masses can be predicted from the solar mixing angle and the experimental results of Deltam(sol)(2) and Deltam(atm)(2) in this framework, and we discuss the naturality of the forms of the mass matrix found in our work.