5 citations · 8 across the 4 of their papers we have counts for
4 papers
Integral Quadratic Forms Avoiding Arithmetic Progressions
A. G. Earnest, Ji Young Kim
For every positive integer k, it is shown that there exists a positive definite diagonal quaternary integral quadratic form that represents all positive integers except for precise…
Even universal binary Hermitian lattices over imaginary quadratic fields
Byeong Moon Kim, Ji Young Kim, Poo-Sung Park
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 Hermi…
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…
The Fifteen Theorem for Universal Hermitian Lattices over Imaginary Quadratic Fields
Byeong Moon Kim, Ji Young Kim, Poo-Sung Park
We will introduce a method to get all universal Hermitian lattices over imaginary quadratic fields over for all m. For each imaginary quadratic field $\math…