Jangwon Ju

activity

20162025

most citedTernary universal sums of generalized polygonal numbers

4 citations · 8 across the 17 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.NT2022

Primitively universal quaternary quadratic forms

Jangwon Ju, Daejun Kim, Kyoungmin Kim +2

A (positive definite and integral) quadratic form $f$ is said to be $universal$ if it represents all positive integers, and is said to be $primitively universal$ …

math.NT2022

Tight universal octagonal forms

Jangwon Ju, Mingyu Kim

Let $P_{8} (x) = 3 x^{2} - 2 x$ . For positive integers $a_{1}, a_{2}, \dots, a_{k}$ , a polynomial of the form $a_{1} P_{8} (x_{1}) + a_{2} P_{8} (x_{2}) + \dots + a_{k} P_{8} (x_{k})$ is called an octagonal form. For a positive i…

math.NT2022

Tight universal sums of $m$ -gonal numbers

Jangwon Ju, Mingyu Kim

For a positive integer $n$ , the set of all integers greater than or equal to $n$ is denoted by $T (n)$ . A sum of generalized $m$ -gonal numbers $g$ is called tight $\mathcal…

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…

Primitively universal quaternary quadratic forms

Tight universal octagonal forms

Tight universal sums of m-gonal numbers

Almost universal sums of triangular numbers with one exception

Tight universal sums of $m$ -gonal numbers