Affiliation:
1. Mathematics Department, University of Hong Kong, Pokfulam, Hong Kong
Abstract
Abstract
In this paper we study universal quadratic polynomials, which arise as sums of polygonal numbers. Specifically, we determine an asymptotic upper bound (as a function of $m$) on the size of the set $S_m\subset{\mathbb{N}}$ such that if a sum of $m$-gonal numbers represents $S_m$, then it represents ${\mathbb{N}}$.
Funder
Research Grants Council of the Hong Kong SAR
Publisher
Oxford University Press (OUP)
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