Binary normal regular Hermitian lattices over imaginary quadratic fields

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We call a positive definite Hermitian lattice regular if it represents all integers which can be represented locally by the lattice. We investigate binary regular Hermitian lattices over imaginary quadratic fields $\mathbb{Q}(\sqrt{-m})$ and provide a complete list of the (normal) Hermitian lattices.
26 pages

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Number Theory, 11E39 (Primary); 11E20, 11E41 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/168245

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.4998
 http://arxiv.org/abs/0710.4998

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arXiv