Representations of Codimension greater-or-equal, slanted3 by Definite Quadratic Forms Original Research Article

LetMbe a positive definite quadraticZ-lattice of rank greater-or-equal, slantedn+3. IfNis a quadraticZ-lattice of ranknwhich is primitively represented by the genus ofMand if all the successive minima ofNincrease sufficiently quickly, then there exists a global primitive representation ofNbyMwith approximation and primitivity properties.