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arXiv · 1607.06573

Almost universal ternary sums of polygonal numbers

Anna Haensch·Ben Kane
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Abstract

For a natural number $m$, generalized $m$-gonal numbers are those numbers of the form $p_m(x)=\frac{(m-2)x^2-(m-4)x}{2}$ with $x\in \mathbb Z$. In this paper we establish conditions on $m$ for which the ternary sum $p_m(x)+p_m(y)+p_m(z)$ is almost universal.

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Anna Haensch, Ben Kane. 2016-07-22. Almost universal ternary sums of polygonal numbers. https://arxiv.org/abs/1607.06573

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