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A model electron gas is studied in order to provide a microscopic justification of the Shoenberg conjecture that the harmonic content of the de Haas-van Alpen oscillations of the magnetization M can properly be explained by replacing the applied field H in the elementary expression for M(H) by the total induction B = H + M The model contains a current-current interaction between the electrons;and it is shown that the unscreened long-range nature of this interaction leads to a term in the low-temperature specific heat proportional to T lnT. For a gas with terrestrial densities the coefficient of this anomalous term is very small and probably beyond detection.