  We show how a fine, multiple-peak structure can arise in the off-resonance,
zero-bias conductance of Coulomb blockade systems. In order to understand how
this effect comes about one must abandon the orthodox, mean-field understanding
of the Coulomb blockade phenomenon and consider quantum fluctuations in the
occupation of the single-particle electronic levels. We illustrate such an
effect with a spinless Anderson-like model for multi-level systems and an
equation-of-motion method for calculating Green's functions that combines two
simple decoupling schemes.
