  To any Nash germ invariant under right composition with a linear action of a
finite group, we associate its equivariant zeta functions, inspired from
motivic zeta functions, using the equivariant virtual Poincar\'e series as a
motivic measure. We show Denef-Loeser formulae for the equivariant zeta
functions and prove that they are invariants for equivariant blow-Nash
equivalence via equivariant blow-Nash isomorphisms. Equivariant blow-Nash
equivalence between invariant Nash germs is defined as a generalization
involving equivariant data of the blow-Nash equivalence.
