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.
Categories: math.NT
