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arXiv · 2204.13689

Arithmetic Upper and Lower Bounds for the Denumerant Function

Gerardo Ballesio
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Abstract

We use an old elementary arithmetic argument to find new upper and lower bounds for Sylvester's denumerant function. These bounds are tight enough to get the asymptotic behavior of the denumerant.

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Gerardo Ballesio. 2023-01-11. Arithmetic Upper and Lower Bounds for the Denumerant Function. https://arxiv.org/abs/2204.13689

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