The Fifteen Theorem for Universal Hermitian Lattices over Imaginary Quadratic Fields
نویسنده
چکیده
We will introduce a method to get all universal Hermitian lattices over imaginary quadratic fields over Q( √ −m) for all m. For each imaginary quadratic field Q( √ −m), we obtain a criterion on universality of Hermitian lattices: if a Hermitian lattice L represents 1, 2, 3, 5, 6, 7, 10, 13, 14 and 15, then L is universal. We call this the fifteen theorem for universal Hermitian lattices. Note that the difference between Conway-Schneeberger’s fifteen theorem and ours is the number 13.
منابع مشابه
The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields
We will introduce a method to get all universal Hermitian lattices over imaginary quadratic fields Q( √ −m) for all m. For each imaginary quadratic field Q( √ −m), we obtain a criterion on universality of Hermitian lattices: if a Hermitian lattice L represents 1, 2, 3, 5, 6, 7, 10, 13, 14 and 15, then L is universal. We call this the fifteen theorem for universal Hermitian lattices. Note that t...
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