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We study the range of the elements of the neutrino mass matrix m_nu in thecharged lepton basis. Neutrino-less double beta decay is sensitive to the eeelement of m_nu. We then analyze the phenomenological implications of singletexture zeros. In particular, interesting predictions for the effective masscan be obtained, in the sense that typically only little cancellation due tothe Majorana phases is expected. Some cases imply constraints on theatmospheric neutrino mixing angle.Comment: 21 pages, 7 figures. Minor corrections, matches version in PR

Elements of the neutrino mass matrix: Allowed ranges and implications of texture zeros