Even universal binary Hermitian lattices over imaginary quadratic fields

Abstract

A positive definite even Hermitian lattice is called 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 for all positive square-free integers m and we list optimal criterions on even universality of Hermitian lattices over which admits even universal binary Hermitian lattices. © 2011 de Gruyter.