Representations of Codimension ⩾3 by Definite Quadratic Forms

LetMbe a positive definite quadraticZ-lattice of rank ⩾n+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 primitiv...

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Bibliographic Details
Published in:Journal of number theory 1998-07, Vol.71 (1), p.81-85
Main Authors: Chan, Wai Kiu, Estes, Dennis R., Jöchner, M.
Format: Article
Language:English
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Summary:LetMbe a positive definite quadraticZ-lattice of rank ⩾n+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.
ISSN:0022-314X
1096-1658
DOI:10.1006/jnth.1998.2233