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

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Showing 2016Show all

5 papers · 1 filter

math.NT2016★ 4 cited

Ternary universal sums of generalized polygonal numbers

Jangwon Ju, Byeong-Kweon Oh, Bangnam Seo

An integer of the form $p_{m} (x) = \frac{( m - 2 ) x ^{2} - ( m - 4 ) x}{2} (m \geq 3)$ , for some integer $x$ is called a generalized polygonal number of order $m$ . A ternary sum $Φ_{i,j,k}^{a,b,c}(…

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…

math.NT2016

Genus-correspondences respecting spinor genus

Jangwon Ju, Byeong-Kweon Oh

For two positive definite integral ternary quadratic forms $f$ and $g$ and a positive integer $n$ , if $n \cdot g$ is represented by $f$ and $n \cdot d g = df$ , then the pair $(f, g)$ is…

math.NT2016

The number of representations of squares by integral ternary quadratic forms (II)

Kyoungmin Kim, Byeong-Kweon Oh

Let $f$ be a positive definite ternary quadratic form. We assume that $f$ is non-classic integral, that is, the norm ideal of $f$ is $\z$. We say $f$ is {\it strongly $s$ -regular }…

math.NT2016★ 2 cited

A generalization of Watson transformation and representations of ternary quadratic forms

Jangwon Ju, Inhwan Lee, Byeong-Kweon Oh

Let $L$ be a positive definite (non-classic) ternary $\z$-lattice and let $p$ be a prime such that a $\frac 12\z_p$-modular component of $L_{p}$ is nonzero isotropic and $4 \cdot d L$ …