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arxiv: 0711.0897 · v1 · submitted 2007-11-06 · 🧮 math.CO

On sets represented by partitions

classification 🧮 math.CO
keywords partitionsnumberrepresentedsetsupperboundboundsdeduce
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We prove a lemma that is useful to get upper bounds for the number of partitions without a given subsum. From this we can deduce an improved upper bound for the number of sets represented by the (unrestricted or into unequal parts) partitions of an integer n.

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