Even Universal Binary Hermitian Lattices over Imaginary Quadratic Fields
نویسنده
چکیده
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 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.
منابع مشابه
Even Universal Binary Hermitian Lattices and an Application to the Kloosterman Problem over Imaginary Quadratic Fields
We call a positive definite even Hermitian lattice 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 m and we list optimal criterions on even universality of Hermitian lattices over Q( √ −m) which admits even universal binary Hermitian lattices. And we apply our r...
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