Byeong-Kweon Oh

activity

20082023

most citedTernary universal sums of generalized polygonal numbers

4 citations · 11 across the 25 of their papers we have counts for

collaborators

29 papers

math.NT2023

Isolations of the sum of two squares from its proper subforms

Jangwon Ju, Daejun Kim, Kyoungmin Kim +2

For a (positive definite and integral) quadratic form $f$ , a quadratic form is said to be {\it an isolation of $f$ from its proper subforms} if it represents all proper subforms of…

math.NT2022

Primitively universal quaternary quadratic forms

Jangwon Ju, Daejun Kim, Kyoungmin Kim +2

A (positive definite and integral) quadratic form $f$ is said to be $universal$ if it represents all positive integers, and is said to be $primitively universal$ …

math.NT2022★ 1 cited

Can we recover an integral quadratic form by representing all its subforms?

Wai Kiu Chan, Byeong-Kweon Oh

Let $o$ be the ring of integers of a totally real number field. If $f$ is a quadratic form over $o$ and $g$ is another quadratic form over $o$ which r…

math.NT2021

The rank of new regular quadratic forms

Mingyu Kim, Byeong-Kweon Oh

A (positive definite and integral) quadratic form $f$ is called regular if it represents all integers that are locally represented. It is known that there are only finitely many re…

math.NT2021

Isolations of cubic lattices from their proper sublattices

Byeong-Kweon Oh

A (positive definite and integral) quadratic form is called {\it an isolation} of a quadratic form $f$ if it represents all subforms of $f$ except for $f$ itself. The minimum rank…

math.NT2021

Tight universal quadratic forms

Mingyu Kim, Byeong-Kweon Oh

For a positive integer $n$ , let $T (n)$ be the set of all integers greater than or equal to $n$ . An integral quadratic form $f$ is called tight $T (n)$ -universal if…