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arXiv · 2109.14793

Conjectures of Sun about sums of polygonal numbers

Kathrin Bringmann·Ben Kane
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Abstract

In this paper, we show that certain sums of generalized $m$-gonal numbers represent every positive integer if and only if they represent every positive integer up to an explicit bound $C_m$, verifying a conjecture of Sun for sufficiently large positive integers.

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Kathrin Bringmann, Ben Kane. 2021-09-30. Conjectures of Sun about sums of polygonal numbers. https://arxiv.org/abs/2109.14793

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