  Our aim is to compute the lower moments of the unpolarized and polarized
deep-inelastic structure functions of the nucleon on the lattice. The
theoretical basis of the calculation is the operator product expansion. To
construct operators with the appropriate continuum behavior out of the bare
lattice operators one must absorb the effects of momentum scales far greater
than any physical scale into a renormalization of the operators. In this work
we compute the renormalization constants of all bilinear quark operators of
leading twist and spin up to four. The calculation is done for Wilson fermions
and in the quenched approximation where dynamical quark loops are neglected.
