Byeong-Kweon Oh

most citedMixed sums of squares and triangular numbers (III)

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math.NT2009

Ternary universal sums of generalized pentagonal numbers

Byeong-Kweon Oh

For any $m \geq 3$ , every integer of the form $p_{m} (x) = \frac{( m - 2 ) x ^{2} - ( m - 4 ) x}{2}$ with $x \in \z$ is said to be a generalized $m$ -gonal number. Let $a \leq b \leq c$ be positive integers. Fo…

math.NT2008★ 1 cited

Mixed sums of squares and triangular numbers (III)

Byeong-Kweon Oh, Zhi-Wei Sun

In this paper we confirm a conjecture of Sun which states that each positive integer is a sum of a square, an odd square and a triangular number. Given any positive integer m, we s…