Univariate and bivariate zeta functions of unipotent group schemes of type G

We compute the representation and class counting zeta functions for a family of torsion-free finitely generated nilpotent groups nilpotency [Formula: see text]. These arise from generalization one families unipotent schemes treated by Stasinski Voll in [18], [19] Lins [10]. The univariate are obtained specializing respective bivariate defined [9]. also used to deduce formula joint distribution on Weyl type