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 2017Show all

3 papers · 1 filter

math.NT2017

Completely $p$ -primitive binary quadratic forms

Byeong-Kweon Oh, Hoseog Yu

Let $f (x, y) = a x^{2} + b x y + c y^{2}$ be a binary quadratic form with integer coefficients. For a prime $p$ not dividing the discriminant of $f$ , we say $f$ is completely $p$ -primitive if for…

math.NT2017

Universal sums of generalized octagonal numbers

Jangwon Ju, Byeong-Kweon Oh

An integer of the form $P_{8} (x) = 3 x^{2} - 2 x$ for some integer $x$ is called a generalized octagonal number. A quaternary sum $Φ_{a, b, c, d} (x, y, z, t) = a P_{8} (x) + b P_{8} (y) + c P_{8} (z) + d P_{8} (t)$ of ge…

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…

Completely p-primitive binary quadratic forms

Universal sums of generalized octagonal numbers

A generalization of Gauss' triangular theorem

Completely $p$ -primitive binary quadratic forms