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 2018Show all

3 papers · 1 filter

math.NT2018

Universal mixed sums of generalized $4$ - and $8$ -gonal numbers

Jangwon Ju, Byeong-Kweon Oh

An integer of the form $P_{m} (x) = \frac{( m - 2 ) x ^{2} - ( m - 4 ) x}{2}$ for an integer $x$ , is called a generalized $m$ -gonal number. For positive integers $α_{1}, \dots, α_{u}$ and $β_{1}, \dots, β_{v}$ ,…

math.NT2018

A sum of squares not divisible by a prime

Kyoungmin Kim, Byeong-Kweon Oh

Let $p$ be a prime. We define $S (p)$ the smallest number $k$ such that every positive integer is a sum of at most $k$ squares of integers that are not divisible by $p$ . In this art…

math.NT2018★ 2 cited

The number of representations by a ternary sum of triangular numbers

Mingyu Kim, Byeong-Kweon Oh

For positive integers $a, b, c$ , and an integer $n$ , the number of integer solutions $(x, y, z) \in Z^{3}$ of $a \frac{x ( x - 1 )}{2} + b \frac{y ( y - 1 )}{2} + c \frac{z ( z - 1 )}{2} = n$ i…

Universal mixed sums of generalized 4- and 8-gonal numbers

A sum of squares not divisible by a prime

The number of representations by a ternary sum of triangular numbers

Universal mixed sums of generalized $4$ - and $8$ -gonal numbers