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AbstractWe compute the representation zeta functions of some finitely generated nilpotent groups associated to unipotent group schemes over rings of integers in number fields. These group schemes are defined by Lie lattices whose presentations are modelled on certain prehomogeneous vector spaces. Our method is based on evaluatingdoi:10.1515/forum-2015-0099 fatcat:nvext227drgajbdrblb22n64eu