5 citations · 11 across the 7 of their papers we have counts for
7 papers
The rank of universal -gonal forms
Byeong Moon Kim, Dayoon Park
In this article, we consider the rank of universal -gonal forms for all sufficiently large . Especially, we determine the minimal rank of universal -gonal form and the max…
A finiteness theorem for universal -gonal forms
Byeong Moon Kim, Dayoon Park
In this paper, we study the set of positive integers that characterize the universality of -gonal form.
Regular -gonal forms
Byeong Moon Kim, Dayoon Park
In this paper, we show that for a fixed rank , there are only finitely many for which there is a regular -gonal form of rank and determine every type of the (generali…
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…