Even universal binary Hermitian lattices over imaginary quadratic fields

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A positive definite even Hermitian lattice is called \emph{even universal} if it represents all even positive integers. We introduce a method to get all even universal binary Hermitian lattices over imaginary quadratic fields $\Q{-m}$ for all positive square-free integers $m$ and we list optimal criterions on even universality of Hermitian lattices over $\Q{-m}$ which admits even universal binary Hermitian lattices.
11 Pages

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Number Theory, 11E39, 11E20, 11E41

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http://salesiana.dossiersoluciones.com/handle/123456789/220347

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.0799
 http://arxiv.org/abs/0809.0799

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arXiv