  We investigate the low energy behavior of local density of states in metallic
C$_{60}$ polymers theoretically. The multichannel bosonization method is
applied to electronic band structures evaluated from first principles
calculation, by which the effects of electronic correlation and nanoscale
corrugation in the atomic configuration are fully taken into account. We obtain
a closed-form expression for the power law anomalies in the local density of
states, which successfully describes the experimental observation on the \fu
polymers in a quantitative manner. An important implication from the
closed-form solution is the existence of an experimentally unobserved crossover
at nearly a hundred milli-electron volts, beyond which the power law exponent
of the \fu polymers should change significantly.
