Even universal binary Hermitian lattices over imaginary quadratic fields

Details Even universal binary Hermitian lattices over imaginary quadratic fields Even universal binary Hermitian lattices over imaginary quadratic fields

2008-09-04

arxiv.org/abs/0809.0799v2

Mathematics

Number Theory

11 Pages

Scientific paper

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.

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