  We present results for the correlation exponent K_rho of the
Tomonaga-Luttinger liquid description of the one-dimensional Kondo lattice as a
function of conduction electron density and coupling constant. It is obtained
from the first derivative of the Fourier transform of the charge-charge
correlation function. We also show that the spin correlation function can only
be described in this picture if we include logarithmic corrections, a feature
that had been previously overlooked. A consistent description of both charge
and spin sectors is then obtained. Finally, we show evidence that the spin
sector of the dimerized phase at quarter-filling is gapless.
