Even universal binary Hermitian lattices over imaginary quadratic fields

Abstract

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

References in corpus (2)

• The Fifteen Theorem for Universal Hermitian Lattices over Imaginary Quadratic Fields
• Binary normal regular Hermitian lattices over imaginary quadratic fields