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math.NT2008
2-universal Hermitian lattices over imaginary quadratic fields
Myung-Hwan Kim, Poo-Sung Park
A positive definite Hermitian lattice is said to be 2-universal if it represents all positive definite binary Hermitian lattices. We find all 2-universal ternary and quaternary Her…
math.NT2008★ 1 cited
Simple proofs for universal binary Hermitian lattices
Poo-Sung Park
If a positive definite Hermitian lattice represents all positive integers, we call it universal. Several mathematicians, including the author, found 25 universal binary Hermitian l…
math.NT2007★ 2 cited
Binary normal regular Hermitian lattices over imaginary quadratic fields
Byeong Moon Kim, Ji Young Kim, Poo-Sung Park
We call a positive definite Hermitian lattice regular if it represents all integers which can be represented locally by the lattice. We investigate binary regular Hermitian lattice…