BYEONG-KWEON Oh

collaborators

3 papers

math.NT2025

Composition laws of binary quadratic forms and isolations of quadratic forms

Jangwon Ju, Daejun Kim, Kyoungmin Kim +2

A positive definite and integral quadratic form $f$ is called irrecoverable if there is a quadratic form $F$ such that it represents all proper subforms of $f$ , whereas it does not…

math.NT2025

Sums of squares of integers except for a fixed one

Wonjun Chae, Yun-seong Ji, Kisuk Kim +3

In this article, we study a sum of squares of integers except for a fixed one. For any nonnegative integer $n$ , we find the minimum number of squares of integers except for $n$ who…

math.NT2024

Minimal rank of primitively $n$ -universal integral quadratic forms over local rings

Byeong-Kweon Oh, Jongheun Yoon

Let $F$ be a local field and let $R$ be its ring of integers. For a positive integer $n$ , an integral quadratic form defined over $R$ is called primitively $n$ -universal if it prim…

Composition laws of binary quadratic forms and isolations of quadratic forms

Sums of squares of integers except for a fixed one

Minimal rank of primitively n-universal integral quadratic forms over local rings

Minimal rank of primitively $n$ -universal integral quadratic forms over local rings