Byeong-Kweon Oh

activity

20162023

most citedA generalization of Gauss' triangular theorem

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2023

Primitively $2$ -universal senary integral quadratic forms

Byeong-Kweon Oh, Jongheun Yoon

For a positive integer $m$ , a (positive definite integral) quadratic form is called primitively $m$ -universal if it primitively represents all quadratic forms of rank $m$ . It was p…

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.NT2017★ 1 cited

A generalization of Gauss' triangular theorem

Jangwon Ju, Byeong-Kweon Oh

A quadratic polynomial $Φ_{a, b, c} (x, y, z) = x (a x + 1) + y (b y + 1) + z (cz + 1)$ is called universal if the diophantine equation $Φ_{a, b, c} (x, y, z) = n$ has an integer solution $x, y, z$ for any non n…

math.NT2016

Spinor representations of positive definite ternary quadratic forms

Jangwon Ju, Kyoungmin Kim, Byeong-Kweon Oh

For a positive definite integral ternary quadratic form $f$ , let $r (k, f)$ be the number of representations of an integer $k$ by $f$ . The famous Minkowski-Siegel formula implies tha…