Jangwon Ju

activity

20162023

most citedA generalization of Gauss' triangular theorem

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

collaborators

Showing math.NTShow all

5 papers · 1 filter

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

Almost universal sums of triangular numbers with one exception

Jangwon Ju

For an arbitrary integer $x$ , an integer of the form $T (x) = \frac{x ^{2} + x}{2}$ is called a triangular number. For positive integers $α_{1}, α_{2}, \dots, α_{k}$ , a sum $Δ_{α_1,α_2,\dots,α_k}(x…

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…

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…