On generalized characters of nilpotent groups

We extend the results of [G.R. Robinson, More on bounds on norms of generalized characters with applications to p-local bounds and blocks, Bull. London Math. Soc. 37 (4) (2005) 555–565] to a general finite nilpotent group, rather than a p-group. This enables us to obtain bounds on the number of complex irreducible characters of a finite group G which do not vanish identically on all non-identity elements of a nilpotent subgroup N.