  The dependence of the Maki-Thompson (MT) and of the density of states
depletion (DOS) contributions from superconducting fluctuations (SF) to NMR-NQR
relaxation is derived in the framework of the diagrammatic theory, applied to
layered three dimensional (3D) high T_c superconductors. The regularization
procedure devised for the conductivity (Buzdin and Varlamov, Phys. Rev. B, 58,
14195 (1998)) is used in order to avoid the divergence of the DOS term. The
theoretical results are discussed in the light of NMR-NQR measurements in YBCO
and compared with the recent theory (Eschrig et al., Phys. Rev. B 59, 12095
(1999)), based on the assumption of a purely 2D spectrum of fluctuations.
