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    Article

    1-Universal binary and ternary Hermitian lattices over imaginary quadratic fields

    A positive definite Hermitian lattice is said to be 1-universal if it represents all positive definite unary Hermitian lattices, including both free and non-free Hermitian lattices. This paper is more concerned w...

    Byeong Moon Kim, Ji Young Kim in The Ramanujan Journal (2021)

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    Article

    The Kloosterman problem for binary Hermitian lattices

    A Hermitian lattice over an imaginary quadratic field \(\mathbb {Q}(\sqrt{-m})\) ...

    Byeong Moon Kim, Ji Young Kim, Poo-Sung Park in Abhandlungen aus dem Mathematischen Semina… (2014)

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    Article

    Extensions of representations of integral quadratic forms

    Let N and M be quadratic ℤ-lattices, and K be a sublattice of N. A representation σ:K→M is said to be extensible to N if there exists a representation ρ:N→M such that ρ | ...

    Wai Kiu Chan, Byeong Moon Kim, Myung-Hwan Kim, Byeong-Kweon Oh in The Ramanujan Journal (2008)

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    Article

    Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms

    In this paper, we will prove if D is large enough, there are no positive integral diagonal septanary universal quadratic forms over .

    Byeong Moon Kim in manuscripta mathematica (1999)