  The thermodynamic properties of the electron gas in multilayer graphene
depend strongly on the number of layers and the type of stacking. Here we
analyse how those properties change when we vary the number of layers for
rhombohedral stacked multilayer graphene and compare our results with those
from a conventional two dimensional electron gas. We show that the highly
degenerate zero energy Landau level which is partly filled with electrons and
partly with holes has a strong influence on the value of the different
thermodynamic quantities.
