  Using the techniques developed in arxiv: 1203.3544 we compute the universal
part of the equilibrium partition function characteristic of a theory with
multiple abelian U(1) anomalies in arbitrary even spacetime dimensions. This
contribution is closely linked to the universal anomaly induced transport
coefficients in hydrodynamics which have been studied before using entropy
techniques. Equilibrium partition function provides an alternate and a
microscopically more transparent way to derive the constraints on these
transport coefficients. We re-derive this way all the known results on these
transport coefficients including their polynomial structure which has recently
been conjectured to be linked to the anomaly polynomial of the theory. Further
we link the local description of anomaly induced transport in terms of a Gibbs
current to the more global description in terms of the partition function .
