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

Showing 2019Show all

4 papers · 1 filter

math.NT2019

Representations of finite number of quadratic forms with same rank

Daejun Kim, Byeong-Kweon Oh

Let $m, n$ be positive integers with $m \leq n$ . Let $κ (m, n)$ be the largest integer $k$ such that for any (positive definite and integral) quadratic forms $f_{1}, \dots, f_{k}$ of rank $…

math.NT2019

A sum of three nonunit squares of integers

Daejun Kim, Jeongwon Lee, Byeong-Kweon Oh

We say a positive integer is a sum of three nonunit squares if it is a sum of three squares of integers other than one. In this article, we find all integers which are sums of thre…

math.NT2019

Quadratic forms with a strong regularity property on the representations of squares

Kyoungmin Kim, Byeong-Kweon Oh

A (positive definite and non-classic integral) quadratic form is called strongly $s$ -regular if it satisfies a strong regularity property on the number of representations of square…

math.NT2019

Regular ternary triangular forms

Mingyu Kim, Byeong-Kweon Oh

An integer of the form $T_{x} = \frac{x ( x + 1 )}{2}$ for some positive integer $x$ is called a triangular number. A ternary triangular form $a T_{x} + b T_{y} + c T_{z}$ for positive integers $a,b…