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

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Showing 2017 · math.NTShow all

2 papers · 2 filters

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…