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The Frobenius postage stamp problem, and beyond
Acta Mathematica Hungarica ( IF 0.9 ) Pub Date : 2020-07-22 , DOI: 10.1007/s10474-020-01073-y
A. Granville , G. Shakan

Let $A$ be a finite subset of $\mathbb{Z}^n$, which generates $\mathbb{Z}^n$ additively. We provide a precise description of the $N$-fold sumsets $NA$ for $N$ sufficiently large, with some explicit bounds on "sufficiently large."

中文翻译:

Frobenius 邮票问题及其他问题

令 $A$ 是 $\mathbb{Z}^n$ 的一个有限子集,它会叠加生成 $\mathbb{Z}^n$。对于足够大的$N$,我们提供了$N$-fold sumsets$NA$ 的精确描述,对“足够大”有一些明确的界限。
更新日期:2020-07-22
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